Results 31 to 40 of about 11,448,216 (76)

Hypergeometric motives from Euler integral representations

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We revisit certain one‐parameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactification of this family. We show that the zeta function of the fibers in the family can be written as an explicit product of L$L$‐series attached to nondegenerate ...
Tyler L. Kelly, John Voight
wiley   +1 more source

Topological Quantum Field Theory and the Geometric Langlands Correspondence [PDF]

, 2013
In the pioneering work of A. Kapustin and E. Witten, the geometric Langlands program of number theory was shown to be intimately related to duality of GL-twisted N=4 super Yang-Mills theory compactified on a Riemann surface. In this thesis, we generalize
Setter, Kevin Luke
core   +1 more source

FTheoryTools: Advancing Computational Capabilities for F‐Theory Research

Fortschritte der Physik, Volume 74, Issue 1, January 2026.
Abstract A primary goal of string phenomenology is to identify realistic four‐dimensional physics within the landscape of string theory solutions. In F‐theory, such solutions are encoded in the geometry of singular elliptic fibrations, whose study often requires particularly challenging and cumbersome computations.
Martin Bies, Miķelis E. Miķelsons, Andrew P. Turner   +2 more
wiley   +1 more source

Semi-global stabilization of linear systems subject to non-right invertible constraints [PDF]

, 2003
Stabilization problems of linear systems with right invertible constraints have mostly been solved for both global and semi-global frameworks. Linear systems subject to non-right invertible constraints have completely different characteristics compared ...
Saberi, A., Sannuti, P., Ali Saberi, Anton A. Stoorvogel, Stoorvogel, AA Anton, Sannuti, Peddapullaiah, Stoorvogel, Antonie Arij, Saberi, Ali, Shi, G, Peddapullaiah Sannuti, Stoorvogel, A.A., Saberi, A Ali, Shi, G., Shi, Guoyong, Stoorvogel, Anton A., Guoyong Shi, Sannuti, P Peddapullaiah   +16 more
core   +3 more sources

Minimal projective varieties satisfying Miyaoka's equality

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract In this paper, we establish a structure theorem for a minimal projective klt variety X$X$ satisfying Miyaoka's equality 3c2(X)=c1(X)2$3c_2(X) = c_1(X)^2$. Specifically, we prove that the canonical divisor KX$K_X$ is semi‐ample and that the Kodaira dimension κ(KX)$\kappa (K_X)$ is equal to 0, 1, or 2. Furthermore, based on this abundance result,
Masataka Iwai, Shin‐ichi Matsumura, Niklas Müller   +2 more
wiley   +1 more source

The relative Hodge–Tate spectral sequence for rigid analytic spaces

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract We construct a relative Hodge–Tate spectral sequence for any smooth proper morphism of rigid analytic spaces over a perfectoid field extension of Qp$\mathbb {Q}_p$. To this end, we generalise Scholze's strategy in the absolute case by using smoothoid adic spaces.
Ben Heuer
wiley   +1 more source

Moduli of finite flat torsors over nodal curves

Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
Abstract We show that log flat torsors over a family X/S$X/S$ of nodal curves under a finite flat commutative group scheme G/S$G/S$ are classified by maps from the Cartier dual of G$G$ to the log Jacobian of X$X$. We deduce that fppf torsors on the smooth fiberss of X/S$X/S$ can be extended to global log flat torsors under some regularity hypotheses.
Sara Mehidi, Thibault Poiret
wiley   +1 more source

The 2‐divisibility of divisors on K3 surfaces in characteristic 2

Mathematische Nachrichten, Volume 298, Issue 6, Page 1964-1988, June 2025.
Abstract We show that K3 surfaces in characteristic 2 can admit sets of n$n$ disjoint smooth rational curves whose sum is divisible by 2 in the Picard group, for each n=8,12,16,20$n=8,12,16,20$. More precisely, all values occur on supersingular K3 surfaces, with exceptions only at Artin invariants 1 and 10, while on K3 surfaces of finite height, only n=
Toshiyuki Katsura, Shigeyuki Kondō, Matthias Schütt   +2 more
wiley   +1 more source

Equivariant Riemann-Roch theorems for curves over perfect fields

, 2008
We prove an equivariant Riemann-Roch formula for divisors on algebraic curves over perfect fields. By reduction to the known case of curves over algebraically closed fields, we first show a preliminary formula with coefficients in Q.
Koeck, Bernhard, Fischbacher-Weitz, Helena B., Helena Fischbacher-Weitz, Bernhard Köck   +3 more
core   +1 more source

Limits of saturated ideals

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract We investigate the question of when a given homogeneous ideal is a limit of saturated ones. We provide cohomological necessary criteria for this to hold and apply them to a range of examples. In small cases, we characterise the limits. We also supply a number of auxiliary results on the classical and multigraded Hilbert schemes, for example ...
Joachim Jelisiejew, Tomasz Mańdziuk
wiley   +1 more source