On the dependence of the affine Springer fibers on their root valuation datum

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autor principal:	Chen, Zongbin
Formato:	Preprint
Publicado:	2024
Materias:	Algebraic Geometry
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

On the cohomological purity of the affine Springer fibers
por: Chen, Zongbin
Publicado: (2026)

A decomposition theorem for the affine Springer fibers
por: Chen, Zongbin
Publicado: (2024)

Purity of the anisotropic affine Springer fibers for $\mathbf{GL}_{n}$
por: Chen, Zongbin
Publicado: (2024)

On the local behavior of weighted orbital integrals and the affine Springer fibers
por: Chen, Zongbin
Publicado: (2021)

Witt vector affine Springer fibers
por: Chi, Jingren
Publicado: (2024)

The affine Springer fiber-sheaf correspondence
por: Gorsky, Eugene, et al.
Publicado: (2022)

Semi-infinite orbits in affine flag varieties and homology of affine Springer fibers
por: Bezrukavnikov, Roman, et al.
Publicado: (2021)

On the geometric fundamental lemma of Kottwitz
por: Chen, Zongbin
Publicado: (2024)

Perverse filtration on the cohomology of affine Springer fibers
por: Yun, Zhiwei
Publicado: (2026)

On the affine Springer fibers inside the invariant center of the small quantum group
por: Hemelsoet, Nicolas, et al.
Publicado: (2022)

Perversity of coinvariants of affine Springer sheaves
por: Bouthier, Alexis, et al.
Publicado: (2025)

Witt affine Springer theory
por: Nissan, Noam, et al.
Publicado: (2026)

Irreducible components of two-column $Δ$-Springer fibers
por: Connor, Joshua P., et al.
Publicado: (2024)

Affine Springer fiber and the small quantum group
por: Bezrukavnikov, Roman, et al.
Publicado: (2026)

Close fields, affine Springer fibers and fundamental lemmas
por: Bartling, Sebastian, et al.
Publicado: (2026)

The action of component groups on irreducible components of Springer fibers
por: Hoang, Do Kien
Publicado: (2024)

Geometry of the fixed points loci and discretization of Springer fibers in classical types
por: Hoang, Do Kien
Publicado: (2024)

Webs and smooth components of two column Springer fibers
por: Cummings, Mike
Publicado: (2026)

A valuative criterion of K-polystability
por: Wang, Linsheng
Publicado: (2024)

Twist automorphism for a generalized root system of affine ADE type
por: Otani, Takumi
Publicado: (2024)

Affine Springer Fibers and Generalized Haiman Ideals
por: Turner, Joshua P.
Publicado: (2023)

Finite generation of higher rank quasi-monomial valuations via the extended Rees algebra
por: Chen, Zhiyuan
Publicado: (2025)

Springer correspondence and mirror symmetries for parabolic Hitchin systems
por: Wang, Bin, et al.
Publicado: (2024)

Schubert valuations on Grassmann varieties
por: Chirivì, Rocco, et al.
Publicado: (2024)

Optimal algebraic tangent cone of torsion-free sheaves via valuations
por: Hada, Yohei
Publicado: (2026)

Non-reduced valuation rings and descent for smooth blowup squares
por: Kelly, Shane
Publicado: (2024)

Purity of generalized affine Springer fibers from generic planar curve singularities
por: Deng, Taiwang, et al.
Publicado: (2025)

There is no Cazanave's Theorem for punctured affine space
por: Brazelton, Thomas, et al.
Publicado: (2024)

On the Springer correspondence for wreath products
por: Hsu, You-Hung, et al.
Publicado: (2024)

Log-concavity for independent sets of valuated matroids
por: Giansiracusa, Jeffrey, et al.
Publicado: (2024)

Buildings, valuated matroids, and tropical linear spaces
por: Battistella, Luca, et al.
Publicado: (2023)

On multiplicities of fibers of Fano fibrations
por: Chen, Guodu, et al.
Publicado: (2022)

A note on Kollár valuations
por: Liu, Yuchen, et al.
Publicado: (2024)

Zhou valuations and jumping numbers
por: Bao, Shijie, et al.
Publicado: (2023)

Approximate roots
por: Popescu-Pampu, Patrick
Publicado: (2025)

Parabolic Multiplicative Affine Springer Fibers
por: Ong, Marielle
Publicado: (2024)

An exotic Springer correspondence for $F_4$
por: Antor, Jonas
Publicado: (2025)

Springer theory for symplectic Galois groups
por: McGerty, Kevin, et al.
Publicado: (2019)

Affine Springer fibers and depth zero L-packets
por: Bezrukavnikov, Roman, et al.
Publicado: (2021)

Operations on constructible functions and generalized valuations
por: Bernig, Andreas, et al.
Publicado: (2026)

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
VUFIND_SESSION	"d979eda6b0087bc0b7f847107a3a4d04"
ui	"standard"
language	"es"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1791166752.0108 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "d979eda6b0087bc0b7f847107a3a4d04" ]`]
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	"VUFIND_SESSION=d979eda6b0087bc0b7f847107a3a4d04; ui=standard; language=es"
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	"216.73.217.58"
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	"57853"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2404_08209/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2404_08209/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1791166752.0057
REQUEST_TIME	1791166752

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler