The rising sea: Foundations of algebraic geometry

V Ravi - 2022 - dlib.hust.edu.vn
This book is intended to give a serious and reasonably complete introduction to algebraic
geometry, not just for (future) experts in the field. The exposition serves a narrow set of goals …

[图书][B] The -book: An Introduction to Algebraic -theory

CA Weibel - 2013 - books.google.com
Page 1 The K-book An Introduction to Algebraic K-theory Charles A. Weibel Graduate Studies
in Mathematics Volume 145 American Mathematical Society Page 2 The K-book An Introduction …

[图书][B] Algebraic Geometry I: Schemes

U Görtz, T Wedhorn - 2010 - Springer
Algebraic Geometry I: Schemes Page 1 Algebraic Geometry I: Schemes Ulrich Görtz
Torsten Wedhorn With Examples and Exercises Second Edition Springer Studium …

[图书][B] The algebraic and geometric theory of quadratic forms

RS Elman, N Karpenko, A Merkurjev - 2008 - books.google.com
This book is a comprehensive study of the algebraic theory of quadratic forms, from classical
theory to recent developments, including results and proofs that have never been published …

[PDF][PDF] Rational points on varieties

B Poonen - Graduate Studies in Mathematics, 2008 - klein.mit.edu
Many techniques have been used to decide whether a variety over a number field has a
rational point. Some generalize Fermat's method of infinite descent, some use quadratic …

Giallar: Push-button verification for the Qiskit quantum compiler

R Tao, Y Shi, J Yao, X Li, A Javadi-Abhari… - Proceedings of the 43rd …, 2022 - dl.acm.org
This paper presents Giallar, a fully-automated verification toolkit for quantum compilers.
Giallar requires no manual specifications, invariants, or proofs, and can automatically verify …

Quantum symmetries in orbifolds and decomposition

DG Robbins, E Sharpe, T Vandermeulen - Journal of High Energy Physics, 2022 - Springer
A bstract In this paper, we introduce a new set of modular-invariant phase factors for
orbifolds with trivially-acting subgroups, analogous to discrete torsion and generalizing …

[图书][B] Value functions on simple algebras, and associated graded rings

JP Tignol, AR Wadsworth - 2015 - Springer
The theory of finite-dimensional division algebras witnessed several breakthroughs in the
latter decades of the twentieth century. Important advances, such as Amitsur's construction of …

[图书][B] Theta functions on varieties with effective anti-canonical class

M Gross, P Hacking, B Siebert - 2022 - ams.org
We show that a large class of maximally degenerating families of $ n $-dimensional
polarized varieties comes with a canonical basis of sections of powers of the ample line …

Stability conditions on Kuznetsov components

A Bayer, M Lahoz, E Macrì, P Stellari - arXiv preprint arXiv:1703.10839, 2017 - arxiv.org
We introduce a general method to induce Bridgeland stability conditions on semiorthogonal
components of triangulated categories. In particular, we prove the existence of Bridgeland …