Stratified Hyperbolicity of the moduli stack of stable minimal models, I

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autor principal:	Shentu, Junchao
Formato:	Preprint
Publicado:	2025
Materias:	Algebraic Geometry
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

Stratified Hyperbolicity of the moduli stack of stable minimal models, II: Big Picard Theorem and the stratified Brody hyperbolicity
por: Shentu, Junchao
Publicado: (2025)

Arakelov inequality for families of pairs
por: Shentu, Junchao
Publicado: (2026)

Geometric Shafarevich boundedness conjecture for families of polarized varieties
por: Shentu, Junchao
Publicado: (2026)

Kollár's package for polystable locally abelian parabolic Higgs bundles
por: Shentu, Junchao, et al.
Publicado: (2024)

Noncommutative rigidity of the moduli stack of stable pointed curves
por: Okawa, Shinnosuke, et al.
Publicado: (2014)

Tensor stable moduli stacks and refined representations of quivers
por: Abdelgadir, Tarig, et al.
Publicado: (2019)

Schwartz $κ$-densities on the moduli stack of rank $2$ bundles near stable bundles
por: Kazhdan, David, et al.
Publicado: (2024)

Stratified homotopy theory of topological $\infty$-stacks: a toolbox
por: Jansen, Mikala Ørsnes
Publicado: (2023)

Stratifying moduli spaces of Higgs bundles and the Hitchin morphism
por: Patel, Aryaman, et al.
Publicado: (2026)

The locus of plane curves in the moduli stack of curves
por: Landesman, Aaron
Publicado: (2025)

Ample vector bundles and moduli of tame stacks
por: Bragg, Daniel, et al.
Publicado: (2024)

Chow and cohomology rings of moduli stacks of plane quartics
por: Ascher, Kenneth, et al.
Publicado: (2026)

Hyperbolic geometry and real moduli of five points on the line
por: Fortman, Olivier de Gaay
Publicado: (2021)

The line bundles on the moduli stack of principal bundles on families of curves
por: Fringuelli, Roberto, et al.
Publicado: (2024)

Cohomology theories in the moduli of ring stacks
por: Lahoti, Dhilan, et al.
Publicado: (2025)

Arithmetic volumes of moduli stacks of Shtukas
por: Feng, Tony, et al.
Publicado: (2026)

Derived logarithmic deformation theory and moduli stacks of derived logarithmic structures
por: Zhang, Ruichuan
Publicado: (2026)

Boundedness of stable minimal models with klt singularities
por: Zhu, Minzhe
Publicado: (2023)

Line bundles on the moduli stack of parahoric bundles
por: Damiolini, Chiara, et al.
Publicado: (2024)

Extended clutching construction for the moduli of stable curves
por: Polishchuk, Alexander
Publicado: (2021)

Boundary of the moduli space of stable cubic fivefolds
por: Shibata, Yasutaka
Publicado: (2014)

The Noether inequality for threefolds and three moduli spaces with minimal volumes
por: Chen, Meng, et al.
Publicado: (2024)

The KSBA moduli space of stable log Calabi-Yau surfaces
por: Alexeev, Valery, et al.
Publicado: (2024)

Vanishing of Brauer groups of moduli stacks of stable curves
por: Bartling, Sebastian, et al.
Publicado: (2024)

Some rational subvarieties of moduli spaces of stable vector bundles
por: Brivio, Sonia, et al.
Publicado: (2026)

A moduli space of stable sheaves on a cubic threefold
por: Ma, Shihao, et al.
Publicado: (2024)

The stable cohomology of the moduli space of curves with level structures
por: Putman, Andrew
Publicado: (2022)

Stable maps to quotient stacks with a properly stable point
por: Di Lorenzo, Andrea, et al.
Publicado: (2024)

Cut and paste invariants of moduli spaces of stable maps to toric surfaces
por: Rust, Cat
Publicado: (2026)

The Segre-Verlinde correspondence for the moduli space of stable bundles on a curve
por: Marian, Alina
Publicado: (2022)

Orbifold Hirzebruch-Riemann-Roch for quotient Deligne-Mumford stacks and equivariant moduli theory on $ K3 $ surfaces
por: Chen, Yuhang
Publicado: (2022)

On the differential $K$-theory of moduli stacks
por: Grady, Daniel
Publicado: (2025)

A theory of stacks with twisted fields and resolution of moduli of genus two stable maps
por: Hu, Yi, et al.
Publicado: (2020)

K-stability of Thaddeus' moduli of stable bundle pairs on genus two curves
por: Zhao, Junyan
Publicado: (2024)

Height moduli on cyclotomic stacks and counting elliptic curves over function fields
por: Bejleri, Dori, et al.
Publicado: (2022)

Hyperbolicity properties of moduli spaces of marked hyperk{ä}hler manifolds
por: Philippe, Bastien
Publicado: (2025)

Root stack valuative criterion for good moduli spaces
por: Bejleri, Dori, et al.
Publicado: (2025)

The intrinsic cohomology ring of the universal compactified Jacobian over the moduli space of stable curves
por: Bae, Younghan, et al.
Publicado: (2025)

Bordism categories and orientations of moduli spaces
por: Joyce, Dominic, et al.
Publicado: (2025)

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper
por: Wakabayashi, Yasuhiro
Publicado: (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
language	"es"
ui	"standard"
VUFIND_SESSION	"4f12572a79150d70bacc6c853546430f"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1791203089.2233 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "4f12572a79150d70bacc6c853546430f" ]`]
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	"language=es; ui=standard; VUFIND_SESSION=4f12572a79150d70bacc6c853546430f"
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	"51743"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2506_17537/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2506_17537/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1791203089.2185
REQUEST_TIME	1791203089

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler