Moduli, motives and bundles : new trends in algebraic geometry / edited by Pedro L. del Ángel R., Frank Neumann, Alexander H.W. Schmitt.

Format:

Book

Contributor:

Del Ángel R., Pedro L., editor.

Neumann, Frank (Mathematician), editor.

Schmitt, Alexander H. W., editor.

Series:

London Mathematical Society lecture note series ; 499.

London Mathematical Society Lecture Note Series ; 499

Language:

English

Subjects (All):

Geometry, Algebraic.

Moduli theory.

Motives (Mathematics).

Physical Description:

x, 468 pages ; 23 cm.

Place of Publication:

Cambridge ; New York, NY : Cambridge University Press, 2026.

Summary:

"This volume explores new developments in algebraic geometry and its interactions with number theory and mathematical physics, from the theory of moduli to motives and enumerative geometry. Covering a wide range of techniques, it is accessible to postgraduate students and young researchers, and researchers in adjacent fields of algebraic geometry"-- Provided by publisher.

Contents:

On the stack of 0-dimensional coherent sheaves : structural aspects / Barbara Fantechi and Andrea T. Ricolfi

Three lectures on quadratic enumerative geometry / Marc Levine

Flat torsors in complex geometry / Juan Sebastián Numpaque-Roa and Florent Schaffhauser

Universal chern classes on the moduli of bundles / Donu Arapura

Linear stability of coherent systems and applications to Butler's conjecture / Abel Castorena, George H. Hitching, and Erick Luna

A Kobayashi-Hitchin correspondence for general coherent systems / Cesare Goretti

On the injectivity and non-injectivity of the l-adic cycle class maps / Bruno Kahn

A primer on zeta functions and decomposition spaces / Andrew Kobin

Atiyah-Bott localization in equivariant Witt cohomology / Marc Levine

Base loci, semiampleness, and parallelizable manifolds / Ernesto C. Mistretta

Recent developments on compactifications of stacks of shtukas / Tuan Ngo Dac and Yakov Varshavsky

A common generalisation of the André-Oort and André-Pink-Zannier conjectures / Rodolphe Richard and Andrei Yafaev.

Notes:

Includes bibliographical references.

Other Format:

Online version Moduli, motives and bundles

ISBN:

9781009497190

1009497197

OCLC:

1529596319