$v$-numbers of symbolic power filtrations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	A, Vanmathi, Sarkar, Parangama
Format:	Preprint
Published:	2024
Subjects:	Commutative Algebra
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Multiplicities of weakly graded families of ideals
by: Sarkar, Parangama
Published: (2024)

Epsilon multiplicity, multiplicity=volume formula and analytic spread of family of ideals
by: Sarkar, Parangama
Published: (2026)

On the ordinary and symbolic powers of fiber products
by: Do, Hoang Viet, et al.
Published: (2024)

Admissible subgraphs and the depth of symbolic powers of cover ideals of graphs
by: Dung, Tran Duc, et al.
Published: (2026)

Regularity of Powers and symbolic powers of edge ideals of cubic circulant graphs
by: Hang, Nguyen Thu, et al.
Published: (2024)

Differential and symbolic powers of ideals
by: De Stefani, Alessandro, et al.
Published: (2025)

Asymptotic invariants of symbolic powers of binomial edge ideals
by: Belotserkovskiy, Dennis, et al.
Published: (2025)

On Betti numbers for symmetric powers of modules
by: Jorge-Pérez, V. H., et al.
Published: (2024)

Asymptotic behaviour of integer programming and the $\text{v}$-function of a graded filtration
by: Ficarra, Antonino, et al.
Published: (2024)

Componentwise linear symbolic powers of edge ideals and Minh's conjecture
by: Ficarra, Antonino, et al.
Published: (2024)

The Serre depth of Stanley-Reisner rings and the depth of their symbolic powers
by: Muta, Yuji, et al.
Published: (2025)

Quasi-Gorenstein extended Rees algebras associated with filtrations
by: Endo, Naoki
Published: (2025)

The v-numbers of Stanley-Reisner ideals from the viewpoint of Alexander dual complexes
by: Kataoka, Tatsuya, et al.
Published: (2025)

The $\text{v}$-function of powers of sums of ideals
by: Ficarra, Antonino, et al.
Published: (2024)

Slightly mixed symbolic powers of matroids are locally glicci
by: Mantero, Paolo, et al.
Published: (2025)

Existence of unimodular element in a projective module over symbolic Rees algebras
by: Bhaumik, Chandan, et al.
Published: (2023)

On the geometry of spaces of filtrations on local rings
by: Qi, Lu
Published: (2024)

On the initial Betti numbers
by: Asgharzadeh, Mohsen
Published: (2019)

Exterior powers and Tor-persistence
by: Lyle, Justin, et al.
Published: (2020)

On squarefree powers of simplicial trees
by: Kamberi, Elshani, et al.
Published: (2024)

Some Results on $\mathrm{v}$-Number of Monomial Ideals
by: Yang, Liuqing, et al.
Published: (2025)

$(u,v)$-absorbing primary hyperideals in multiplicative hyperrings
by: Anbarloei, Mahdi
Published: (2025)

Module-Theoretic Characterizations of Prufer $v$-Multiplication Domains
by: Zhang, Xiaolei, et al.
Published: (2025)

On composition of muiltivariable formal power series
by: Mokatren, Motaz
Published: (2025)

Betti numbers of skeletons of thick trees
by: Fröberg, Ralf
Published: (2026)

Betti numbers of full Perazzo algebras
by: Miró-Roig, Rosa Maria, et al.
Published: (2025)

(u,v)-absorbing (prime) hyperideals in commutative multiplicative hyperrings
by: Anbarloei, Mahdi
Published: (2024)

Rational powers, invariant ideals, and the summation formula
by: Bisui, Sankhaneel, et al.
Published: (2024)

Resolution and Betti numbers of Vertex cover ideals
by: Hà, Tài Huy, et al.
Published: (2024)

Geometry of numbers and degree bounds for rational invariants
by: Blum-Smith, Ben, et al.
Published: (2026)

Hilbert-Kunz multiplicity of powers of ideals in dimension two
by: De Stefani, Alessandro, et al.
Published: (2024)

The depth function of powers of cover ideals of path graphs
by: Dung, Tran Duc, et al.
Published: (2026)

Homological shifts of powers a complementary edge ideal
by: Lu, Dancheng, et al.
Published: (2025)

Bounded powers of edge ideals: regularity and linear quotients
by: Hibi, Takayuki, et al.
Published: (2025)

Bounds on Dao numbers and applications to regular local rings
by: Ficarra, Antonino, et al.
Published: (2024)

Betti numbers and almost complete intersection monomial ideals
by: Mafi, Amir, et al.
Published: (2025)

Graded Betti numbers of powers of path ideals of paths
by: Balanescu, Silviu, et al.
Published: (2024)

Strong persistence index and fluctuations in colon powers of monomial ideals
by: Nasernejad, Mehrdad, et al.
Published: (2026)

Extremal Betti numbers of certain two-dimensional monomial ideals
by: Loc, Nguyen Quang, et al.
Published: (2025)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
ui	"standard"
language	"en"
VUFIND_SESSION	"77a63c3b1ca01827199531498ad37d83"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790958046.5898 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "77a63c3b1ca01827199531498ad37d83" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"ui=standard; language=en; VUFIND_SESSION=77a63c3b1ca01827199531498ad37d83"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"21779"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2403_09175/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2403_09175/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790958046.5809
REQUEST_TIME	1790958046

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
ui	"standard"
language	"en"
VUFIND_SESSION	"77a63c3b1ca01827199531498ad37d83"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790958046.5898 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "77a63c3b1ca01827199531498ad37d83" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"ui=standard; language=en; VUFIND_SESSION=77a63c3b1ca01827199531498ad37d83"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"21779"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2403_09175/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2403_09175/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790958046.5809
REQUEST_TIME	1790958046

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: