Mathematics - Algebraic Geometry

Algebraic GeometryInvestigating the Poincaré Center Problem

A look into the dynamics of differential equations and equilibrium points.

Hans-Christian von Bothmer

2025-06-12T18:30:02+00:00 ― 5 min read

Algebraic GeometryUnderstanding Solutions in Polynomial Systems

A look into methods for counting positive solutions in polynomial equations.

Boulos El Hilany, Sébastien Tavenas

2025-06-12T15:52:44+00:00 ― 4 min read

Algebraic GeometryConnections Between Rational Curves and Vector Bundles

Exploring the links between rational curves and vector bundles in geometry.

Chen Song

2025-06-11T21:05:25+00:00 ― 4 min read

Algebraic GeometryInvestigating Smooth Projective Varieties and Ribbons

Exploring the extendability of projective varieties and their degeneration into ribbons.

Purnaprajna Bangere, Jayan Mukherjee

2025-06-11T20:12:59+00:00 ― 5 min read

CombinatoricsMatroids: A Comprehensive Overview

Discover the fundamental concepts and applications of matroids in mathematics.

Franquiz Caraballo Alba, Jeffery Liu

2025-06-11T17:35:41+00:00 ― 5 min read

CombinatoricsExamining Critical Groups and Graph Covers

This article explores the connections between critical groups and harmonic covers in graphs.

Mariia Vetluzhskikh, Dmitry Zakharov

2025-06-11T04:02:58+00:00 ― 4 min read

Algebraic GeometryInsights into Kummer Surfaces and Their Geometry

Explore the intricate world of Kummer surfaces and their mathematical significance.

Alvaro Gonzalez-Hernandez

2025-06-11T02:44:19+00:00 ― 4 min read

Algebraic GeometryUnderstanding Anti-Symmetric Matrices and Determinants

A look into the role of anti-symmetric matrices in linear algebra.

Jacques Distler, Nathan Donagi, Ron Donagi

2025-06-10T16:39:30+00:00 ― 6 min read

Mathematical PhysicsAn Introduction to Topological Recursion

Learn about topological recursion and its role in mathematics and physics.

Vincent Bouchard

2025-06-10T16:15:57+00:00 ― 4 min read

Algebraic GeometryInterconnections in Quantum Field Theories

Exploring the relationships between quantum field theories and mathematical frameworks.

Hiraku Nakajima

2025-06-10T15:44:33+00:00 ― 6 min read

Algebraic GeometryAn Overview of Schubert and Spherical Varieties

Learn about important types of varieties in algebraic geometry.

Mahir Bilen Can, S. Senthamarai Kannan, Pinakinath Saha

2025-06-10T14:56:28+00:00 ― 4 min read

Algebraic GeometryUnderstanding Vector Bundles and Metrics in Geometry

An overview of vector bundles, metrics, and their significance in complex geometry.

Chen Zhao

2025-06-10T11:52:57+00:00 ― 5 min read

Algebraic GeometryUnderstanding Rational Maps in Algebraic Geometry

An overview of rational maps and their dynamics in algebraic geometry.

Yohsuke Matsuzawa, Junyi Xie

2025-06-10T01:49:58+00:00 ― 6 min read

Number TheoryResearch Advances in Mirror Maps and Coefficients

Study examines positivity and integrality of coefficients in mirror maps related to Calabi-Yau varieties.

Sophie Bleau, Nick Sheridan

2025-06-09T03:06:42+00:00 ― 5 min read

Algebraic GeometryExploring Duality in Alternating Vector Bundles

A look into the relationships within alternating vector bundles and their unique properties.

Hacen Zelaci

2025-06-09T00:29:24+00:00 ― 5 min read

Algebraic GeometryAssessing Brauer-Severi Surface Bundles Over Rational Varieties

Examining conditions for non-stable rationality in Brauer-Severi surface bundles.

Shitan Xu

2025-06-08T15:45:04+00:00 ― 5 min read

Algebraic GeometryCubic Threefolds and Fano Varieties: A Study

Examining the complex relationships between cubic threefolds and Fano varieties.

Yuri Tschinkel, Zhijia Zhang

2025-06-08T14:26:25+00:00 ― 5 min read

Algebraic GeometryExploring the Toric Fundamental Group

A look into the toric fundamental group and its significance in mathematics.

Giulio Bresciani

2025-06-08T08:45:36+00:00 ― 5 min read

Algebraic GeometryA Look into Hyperkähler Manifolds

Explore the intriguing properties of hyperkähler manifolds and their significance in geometry.

Andrey Soldatenkov, Misha Verbitsky

2025-06-08T02:38:34+00:00 ― 6 min read

Number TheoryUnderstanding Abelian Varieties Over Finite Fields

An accessible guide to abelian varieties in mathematics and their significance.

Jonas Bergström, Valentijn Karemaker, Stefano Marseglia

2025-06-07T23:08:50+00:00 ― 4 min read

Algebraic GeometryConnections Between Stable Pairs, Local Curves, and Bethe Roots

Examining relationships between geometric shapes and algebraic solutions in mathematics.

Maximilian Schimpf

2025-06-07T10:54:46+00:00 ― 8 min read

Algebraic GeometryAnalyzing Isolated Singularities in Algebraic Geometry

A look into singularities and their properties in algebraic geometry.

Chuangqiang Hu, Stephen S. -T. Yau, Huaiqing Zuo

2025-06-07T08:43:41+00:00 ― 5 min read

Commutative AlgebraIntegral Dependence of Graded Ideals in Algebra

A look at how graded ideals relate in algebraic structures.

Suprajo Das, Sudeshna Roy, Vijaylaxmi Trivedi

2025-06-07T07:51:15+00:00 ― 4 min read

Algebraic GeometryExamining Seshadri Constants through Hilbert Schemes

This article investigates how Hilbert schemes enhance the study of Seshadri constants.

Jonas Baltes

2025-06-07T01:44:13+00:00 ― 4 min read

Mathematical SoftwareNew Tool Simplifies Study of Hypersurfaces

HypersurfaceRegions.jl helps researchers analyze complex mathematical structures.

Paul Breiding, Bernd Sturmfels, Kexin Wang

2025-06-06T22:14:29+00:00 ― 5 min read

Differential GeometryThe Intricacies of Complex Manifolds

A look into Kähler manifolds and their significance in mathematics.

Chi Li, Zhengyi Zhou

2025-06-06T13:56:22+00:00 ― 6 min read

Algebraic GeometryRational Curves and Their Singularities

A look into the complexities of counting rational curves and their singular points.

Indranil Biswas, Apratim Choudhury, Ritwik Mukherjee

2025-06-06T13:30:09+00:00 ― 4 min read

Algebraic GeometrySimplifying Key Concepts in Algebraic Geometry

A look into varieties, stratifications, and monomial theories explained simply.

Henrik Müller

2025-06-06T00:49:52+00:00 ― 3 min read

Algebraic GeometryEnriques Varieties: A Unique Perspective on Geometry

Exploring the intricate features of Enriques varieties in geometry.

Francesco Antonio Denisi, Ángel David Ríos Ortiz, Nikolaos Tsakanikas

2025-06-05T12:09:35+00:00 ― 5 min read

Algebraic GeometryCubic Fourfolds: Geometry in Higher Dimensions

An overview of cubic fourfolds and their intriguing properties in algebraic geometry.

Michele Bolognesi, Zakaria Brahimi, Hanine Awada

2025-06-05T11:43:22+00:00 ― 6 min read

Algebraic GeometryInsights into Infinitesimal Group Schemes

Exploring the unique properties of infinitesimal commutative unipotent group schemes.

Bianca Gouthier

2025-06-05T11:17:09+00:00 ― 5 min read

Number TheoryExploring the Depths of Shimura Varieties

A look into the significance of Shimura varieties in mathematics.

Stefan Reppen

2025-06-05T08:13:38+00:00 ― 4 min read

Algebraic GeometryThe Significance of Prym Curves in Algebraic Geometry

Exploring Prym curves and their role in algebraic geometry and moduli spaces.

Andrei Bud

2025-06-05T02:32:49+00:00 ― 5 min read

Algebraic GeometryExamining Artin Motives and Their Categories

A look into Artin motives and their connection to algebraic geometry.

Swann Tubach

2025-06-04T23:29:18+00:00 ― 5 min read

Algebraic GeometryQuantum Theory and Flag Varieties: A New Perspective

Research reveals connections between quantum theory and mathematical structures.

Irit Huq-Kuruvilla

2025-06-04T14:54:36+00:00 ― 4 min read

High Energy Physics - TheoryNew Insights into Four-Dimensional Gauge Theories

Research reveals abundant chiral anomaly-free representations in gauge theories.

Ben Gripaios, Khoi Le Nguyen Nguyen

2025-06-04T14:38:54+00:00 ― 6 min read

Algebraic GeometryAdvancements in Solving Polynomial Systems

Methods and challenges in addressing polynomial equations across various fields.

Paul Alexander Helminck, Oskar Henriksson, Yue Ren

2025-06-04T08:37:56+00:00 ― 5 min read

Algebraic GeometryUnderstanding Siegel Flag Varieties in Algebra

A look into Siegel flag varieties and their role in algebraic geometry.

Simon Cooper

2025-06-03T19:05:13+00:00 ― 5 min read

CombinatoricsUnderstanding Scattering Diagrams and Gradings in Mathematics

A clear guide to scattering diagrams, gradings, and positivity in combinatorics.

Amanda Burcroff, Kyungyong Lee, Lang Mou

2025-06-03T11:13:19+00:00 ― 7 min read

Symplectic GeometryConnections in Liouville Manifolds and Symplectic Geometry

An exploration of Liouville manifolds and their role in symplectic geometry.

Yuan Gao

2025-06-03T05:32:30+00:00 ― 4 min read