Results 11 to 20 of about 12,524 (89)
Birational self-maps of threefolds of (un)-bounded genus or gonality [PDF]
, 2021 We study the complexity of birational self-maps of a projective threefold $X$ by looking at the birational type of surfaces contracted. These surfaces are birational to the product of the projective line with a smooth projective curve.
Blanc, Jérémy +3 more
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Effective nonvanishing, effective global generation [PDF]
, 1998 We prove a multiple-points higher-jets nonvanishing theorem by the use of local Seshadri constants. Applications are given to effectivity problems such as constructing rational and birational maps into Grassmannians, and the global generation of vector ...
de Cataldo, Mark Andrea A.
core +3 more sources
Estimates of the number of rational mappings from a fixed variety to varieties of general type [PDF]
, 1997 First we find effective bounds for the number of dominant rational maps $f:X \rightarrow Y$ between two fixed smooth projective varieties with ample canonical bundles. The bounds are of the type $\{A \cdot K_X^n\}^{\{B \cdot K_X^n\}^2}$, where $n=dimX$, $
Bandman, T., Dethloff, G.
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Birational geometry of cluster algebras [PDF]
, 2014 We give a geometric interpretation of cluster varieties in terms of blowups of toric varieties. This enables us to provide, among other results, an elementary geometric proof of the Laurent phenomenon for cluster algebras (of geometric type), extend ...
Gross, Mark, Hacking, Paul, Keel, Sean
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The group of Cremona transformations generated by linear maps and the standard involution [PDF]
, 2015 This article studies the group generated by automorphisms of the projective space of dimension $n$ and by the standard birational involution of degree $n$. Every element of this group only contracts rational hypersurfaces, but in odd dimension, there are
Blanc, Jérémy, Hedén, Isac
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Holomorphic self-maps of singular rational surfaces [PDF]
, 2009 We give a new proof of the classification of normal singular surface germs admitting non-invertible holomorphic self-maps and due to J. Wahl. We then draw an analogy between the birational classification of singular holomorphic foliations on surfaces ...
Favre, Charles, Université Paris 7
core +7 more sources
On the complexity of some birational transformations [PDF]
, 2005 Using three different approaches, we analyze the complexity of various birational maps constructed from simple operations (inversions) on square matrices of arbitrary size.
Anglès d'Auriac J-C +16 more
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Holomorphic symmetric differentials and a birational characterization of Abelian Varieties
, 2019 A generically generated vector bundle on a smooth projective variety yields a rational map to a Grassmannian, called Kodaira map. We answer a previous question, raised by the asymptotic behaviour of such maps, giving rise to a birational characterization
Debarre O. +8 more
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Webs invariant by rational maps on surfaces
, 2014 We prove that under mild hypothesis rational maps on a surface preserving webs are of Latt\`es type. We classify endomorphisms of P^2 preserving webs, extending former results of Dabija-Jonsson.Comment: 27 pages ...
Favre, Charles, Pereira, Jorge Vitorio
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Rational Connectivity and Analytic Contractibility
, 2016 Let k be an algebraically closed field of characteristic 0, and let f be a morphism of smooth projective varieties from X to Y over the ring k((t)) of formal Laurent series.
Brown, Morgan, Foster, Tyler
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