Results 1 to 10 of about 330,939 (41)

Approximation of maps into spheres by regulous maps [PDF]

, 2017
Let $X$ be a compact real algebraic set of dimension $n$. We prove that every Euclidean continuous map from $X$ into the unit $n$-sphere can be approximated by regulous map.
Zieliński, Maciej
core   +3 more sources

A Mirror Theorem between Landau-Ginzburg models [PDF]

, 2015
We survey on the recent progress toward mirror symmetry between Landau-Ginzburg models.Comment: 9 pages; Nuclear Physics B (2015).
Li, Si
core   +3 more sources

13/2 ways of counting curves

, 2009
In the past 20 years, compactifications of the families of curves in algebraic varieties X have been studied via stable maps, Hilbert schemes, stable pairs, unramified maps, and stable quotients. Each path leads to a different enumeration of curves.
Pandharipande, R., Thomas, R. P.
core   +1 more source

Applications of singularity theory in applied algebraic geometry and algebraic statistics [PDF]

arXiv, 2023
We survey recent applications of topology and singularity theory in the study of the algebraic complexity of concrete optimization problems in applied algebraic geometry and algebraic statistics.
arxiv  

Derived Category Automorphisms from Mirror Symmetry

, 2004
Inspired by the homological mirror symmetry conjecture of Kontsevich, we construct new classes of automorphisms of the bounded derived category of coherent sheaves on a smooth Calabi-Yau variety.Comment: LaTeX, 27 pages, no figures; substantially revised;
Horja, Richard Paul
core   +1 more source

Artin's theorems in supergeometry [PDF]

arXiv, 2021
We generalize Artin's three main algebraicity theorems to the setting of supergeometry: Artin approximation, algebraization of formal moduli, and algebraization of stacks.
arxiv  

Towards the cohomology of moduli spaces of higher genus stable maps

, 2006
We prove that the orbifold desingularization of the moduli space of stable maps of genus g = 1 recently constructed by Vakil and Zinger has vanishing rational cohomology groups in odd degree k < 10.Comment: Preliminary version, comments are ...
Fontanari, Claudio
core   +2 more sources

Algebraic geometry in mixed characteristic [PDF]

arXiv, 2021
Fix a prime number $p$. We report on some recent developments in algebraic geometry (broadly construed) over $p$-adically complete commutative rings. These developments include foundational advances within the subject as well as external applications.
arxiv  

A framework for tropical mirror symmetry [PDF]

, 2011
Applying tropical geometry a framework for mirror symmetry, including a mirror construction for Calabi-Yau varieties, was proposed by the author. We discuss the conceptual foundations of this construction based on a natural mirror map identifying ...
Boehm, Janko
core  

A survey on symplectic singularities and resolutions [PDF]

, 2005
This is a survey written in an expositional style on the topic of symplectic singularities and symplectic resolutions, which could also serve as an introduction to this ...
Fu, Baohua
core   +2 more sources