Results 41 to 50 of about 181 (138)
Two applications of the decomposition theorem to moduli spaces [PDF]
, 2018 The decomposition theorem is a statement about the (derived) direct image of the intersection cohomology by an algebraic projective map. The decomposition theorem and more generally the theory of perverse sheaves have found many interesting applications,
Felisetti, Camilla <1990> +1 more
core +1 more source
Topological stability obstructions and geometry of Algebraic Surfaces [PDF]
, 2022 In this thesis we study a few topics in the field of complex differential and algebraic geometry. In the first part it suggests a new interpretation of a vector bundle on a families of algebraic varieties (or any structures) as an object in the ...
Lukzen, Elena
core
, 2020 We introduce a tropical geometric framework that allows us to define $\psi$ classes for moduli spaces of tropical curves of arbitrary genus. We prove correspondence theorems between algebraic and tropical $\psi$ classes for some one-dimensional families ...
Gross, Andreas +2 more
core +1 more source
On surfaces of general type with pg = q = 1 isogenous to a product of curves [PDF]
, 2008 A smooth algebraic surface S is said to be isogenous to a product of unmixed type if there exist two smooth curves C, F and a finite group G, acting faithfully on both C and F and freely on their product, so that S = (C x F)/G.
Polizzi F.
core +1 more source
$x-y$ duality in Topological Recursion for exponential variables via Quantum Dilogarithm
, 2023 For a given spectral curve, the theory of topological recursion generates two different families $ω_{g,n}$ and $ω_{g,n}^\vee$ of multi-differentials, which are for algebraic spectral curves related via the universal $x-y$ duality formula.
Hock, Alexander
core +1 more source
On the geometry of moduli spaces of coherent systems on algebraic curves
, 2006 38 pages. Nr. 5 is final version (02/08/2006), one typo was corrected and one reference deleted. Version nr. 4 (12/06/2006) included minor corrections and two added references. Version nr.
Bradlow, Steven B. +3 more
core
Hodge Theory and Algebraic Geometry [PDF]
, 2003 Hodge Theory and Algebraic Geometry 2002/10/7-11 Department of Mathematics, Hokkaido University 石井志保子（東工大）Nash problem on arc families for singularities 内藤広嗣 （名大多元） 村上雅亮（京大理）Surfaces with c^2_1= 3 and \kai(O) = 2, which have non-trivial 3-torsion ...
Matsushita, D.
core +1 more source
Canonical Lifts of Elliptic Curves Through Witt Vectors [PDF]
openIn this thesis, we study the canonical liftings of ordinary elliptic curves over fields of characteristic $p > 0$. Building on the theory of Witt vectors and their relation to the moduli space of ordinary elliptic curves, we show that the canonical ...
JEFFERS, BENJAMIN LEWIS
core
A Journey through Moduli Space
Every mathematical landscape has its terrain, and moduli spaces form one of the richest terrains of all. They are the maps we draw to navigate families of shapes, curves, and structures, capturing both their similarities and their hidden symmetries. This
Seppeh, Agnes Oppong +8 more
core +1 more source
On log canonical models of the moduli space of stable pointed genus zero curves
, 2008 The Deligne-Mumford moduli spaces of genus g n-pointed stable curves classify how algebraic families of Riemann surfaces may vary. Any such family corresponds to a subvariety of the associated moduli space.
Simpson, Matthew
core