The fundamental group of quotients of products of some topological spaces by a finite group - A generalization of a Theorem of Bauer-Catanese-Grunewald-Pignatelli: Le groupe fondamental de quotients de produits de certains espaces topologiques par ungroupe fini — Généralisation d’un théorème de Bauer–Catanese–Grunewald–Pignatelli [PDF]
Épijournal de Géométrie Algébrique, 2021 We provide a description of the fundamental group of the quotient of a product of topological spaces X i, each admitting a universal cover, by a finite group G, provided that there is only a finite number of path-connected components in X g i for every g
Rodolfo Aguilar
doaj +1 more source
Smooth projective horospherical varieties of Picard group $\mathbb{Z}^2$ [PDF]
Épijournal de Géométrie Algébrique, 2020 We classify all smooth projective horospherical varieties of Picard group $\mathbb{Z}^2$ and we give a first description of their geometry via the Log Minimal Model Program.
Boris Pasquier
doaj +1 more source
Smoothing cones over K3 surfaces [PDF]
Épijournal de Géométrie Algébrique, 2018 We prove that the affine cone over a general primitively polarised K3 surface of genus g is smoothable if and only if g ≤ 10 or g = 12. We also give several examples of singularities with special behaviour, such as surfaces whose affine cone is ...
Stephen Coughlan, Taro Sano
doaj +1 more source
Smooth affine group schemes over the dual numbers [PDF]
Épijournal de Géométrie Algébrique, 2019 We provide an equivalence between the category of affine, smooth group schemes over the ring of generalized dual numbers $k[I]$, and the category of extensions of the form $1 \to \text{Lie}(G, I) \to E \to G \to 1$ where G is an affine, smooth group ...
Matthieu ROMAGNY, Dajano Tossici
doaj +1 more source
Infinite families of inequivalent real circle actions on affine four-space [PDF]
Épijournal de Géométrie Algébrique, 2019 The main result of this article is to construct infinite families of non-equivalent equivariant real forms of linear C*-actions on affine four-space. We consider the real form of $\mathbb{C}^*$ whose fixed point is a circle.
Lucy Moser-Jauslin
doaj +1 more source
Finiteness of the space of n-cycles for a reduced (n − 2)-concave complex space [PDF]
Épijournal de Géométrie Algébrique, 2017 EPIGA, Volume 1 (2017), Nr ...
Daniel Barlet
doaj +1 more source
Épijournal de Géométrie Algébrique20 pages, 1 ...
Andrew Clarke, Achim Napame, Carl Tipler
doaj +1 more source
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
Quantum curves for Hitchin fibrations and the Eynard-Orantin theory [PDF]
, 2013 We generalize the topological recursion of Eynard-Orantin (2007) to the family of spectral curves of Hitchin fibrations. A spectral curve in the topological recursion, which is defined to be a complex plane curve, is replaced with a generic curve in the ...
A. Beauville +35 more
core +4 more sources
, 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