-
1
Computational Algebraic Geometry in String and Gauge Theory
Published 2012-01-01Get full text
Article -
2
Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space
Published 2020-01-01Subjects: “…Differential and Algebraic Geometry…”
Get full text
Article -
3
A Calabi-Yau-to-curve correspondence for Feynman integrals
Published 2025-01-01Subjects: “…Differential and Algebraic Geometry…”
Get full text
Article -
4
Backreacted Coulomb energy in the Skyrme model
Published 2025-01-01Subjects: “…Differential and Algebraic Geometry…”
Get full text
Article -
5
Drinfel’d doubles, twists and all that. . . in stringy geometry and M theory
Published 2025-01-01Subjects: “…Differential and Algebraic Geometry…”
Get full text
Article -
6
Non-minimal elliptic threefolds at infinite distance II: asymptotic physics
Published 2025-01-01Subjects: “…Differential and Algebraic Geometry…”
Get full text
Article -
7
Massive spectrum in F-theory and the distance conjecture
Published 2025-01-01Subjects: “…Differential and Algebraic Geometry…”
Get full text
Article -
8
Exact flux vacua, symmetries, and the structure of the landscape
Published 2025-01-01Subjects: “…Differential and Algebraic Geometry…”
Get full text
Article -
9
RETRACTED: On the Nature of Some Euler’s Double Equations Equivalent to Fermat’s Last Theorem
Published 2022-11-01Subjects: Get full text
Article -
10
Canonical differential equations beyond genus one
Published 2025-02-01Subjects: “…Differential and Algebraic Geometry…”
Get full text
Article -
11
Strolling along gravitational vacua
Published 2020-01-01Subjects: “…Differential and Algebraic Geometry…”
Get full text
Article -
12
Massive bigravity as a presymplectic BV-AKSZ sigma-model
Published 2025-01-01Subjects: “…Differential and Algebraic Geometry…”
Get full text
Article -
13
Kodaira-Spencer anomalies with Stora-Zumino method
Published 2025-01-01Subjects: “…Differential and Algebraic Geometry…”
Get full text
Article -
14
On extensions of gl m n ⏜ $$ \mathfrak{gl}\widehat{\left(\left.m\right|n\right)} $$ Kac-Moody algebras and Calabi-Yau singularities
Published 2020-01-01Subjects: “…Differential and Algebraic Geometry…”
Get full text
Article -
15
Discrimination in a General Algebraic Setting
Published 2015-01-01“…Remeslennikov as an outgrowth of their theory of algebraic geometry over groups. Algebraic geometry over groups became the main method of attack on the solution of the celebrated Tarski conjectures. …”
Get full text
Article -
16
Geometric Representations of Interacting Maps
Published 2010-01-01“…In particular we discover a new duality on the set of automata which arise from the projective duality in algebraic geometry.…”
Get full text
Article -
17
A Mathematical Model for a Transmissible Disease with a Variant
Published 2022-01-01“…We determined the four equilibria of the system of ordinary differential equations representing the model and characterized their existence using exact methods of algebraic geometry and computer algebra. The model is studied using the stability theory for systems of differential equations and the basic reproduction number R0. …”
Get full text
Article -
18
A Computational Approach to the Perimeter-Area Inequality in a Triangle
Published 2025-01-01“…Focusing on the computational complex and real algebraic geometry methods behind these tools, this study analyzes a geometric construction involving a triangle with arbitrary side lengths and area, investigating the automated derivation of the relationship between the area and perimeter of a triangle, and showing that only equilateral triangles satisfy the exact perimeter-area equality. …”
Get full text
Article -
19
Pell’s equation, sum-of-squares and equilibrium measures on a compact set
Published 2023-07-01“…Interestingly, this view point connects orthogonal polynomials, Christoffel functions and equilibrium measures on one side, with sum-of-squares, convex optimization and certificates of positivity in real algebraic geometry on another side.…”
Get full text
Article -
20
Quantum complexity phase transitions in monitored random circuits
Published 2025-02-01“…We lower bound the exact state complexity in the former regime using recently developed techniques from algebraic geometry. Our results combine quantum complexity growth, phase transitions, and computation with measurements to help understand the behavior of monitored random circuits and to make progress towards determining the computational power of measurements in many-body systems.…”
Get full text
Article