Results 11 to 20 of about 555 (183)
Tri-linear birational maps in dimension three
Mathematics of Computation, 2023 A tri-linear rational map in dimension three is a rational map ϕ :
Laurent Busé +2 more
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Degree growth of birational maps of the plane
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2015 This article studies the sequence of iterative degrees of a birational map of the plane. This sequence is known either to be bounded or to have a linear, quadratic or exponential growth. The classification elements of infinite order with a bounded sequence of degrees is achieved, the case of elements of finite order being already known.
Déserti, Julie, Blanc, Jérémy
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Dynamics of birational maps of P^2 [PDF]
Indiana University Mathematics Journal, 1996 Inspired by work done for polynomial automorphisms, we apply pluripotential theory to study iteration of birational maps of P2. A major theme is that success of pluripotential theoretic constructions depends on separation between orbits of the forward and backward indeterminacy sets.
Jeffrey Diller
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Bott-Samelson Varieties, Subword Complexes and Brick Polytopes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Bott-Samelson varieties factor the flag variety $G/B$ into a product of $\mathbb{C}\mathbb{P}^1$'s with a map into $G/B$. These varieties are mostly studied in the case in which the map into $G/B$ is birational; however in this paper we study fibers of ...
Laura Escobar
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On singularity confinement for the pentagram map [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 The pentagram map, introduced by R. Schwartz, is a birational map on the configuration space of polygons in the projective plane. We study the singularities of the iterates of the pentagram map.
Max Glick
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Cycle Class Maps and Birational Invariants [PDF]
Communications on Pure and Applied Mathematics, 2020 AbstractWe introduce new obstructions to rationality for geometrically rational threefolds arising from the geometry of curves and their cycle maps.
Hassett, Brendan, Tschinkel, Yuri
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Torification and factorization of birational maps [PDF]
Journal of the American Mathematical Society, 2002 Building on work of the fourth author and Morelli’s work, we prove the weak factorization conjecture for birational maps in characteristic zero: a birational map between complete nonsingular varieties over an algebraically closed field K
Abramovich, D. +3 more
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Bridge Graphs and Deodhar Parametrizations for Positroid Varieties [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 A parametrization of a positroid variety $\Pi$ of dimension $d$ is a regular map $(\mathbb{C}^{\times})^{d} \rightarrow \Pi$ which is birational onto a dense subset of $\Pi$.
Rachel Karpman
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AppliedMath, 2023 Let X be a smooth projective variety and f:X→Pr a morphism birational onto its image. We define the Terracini loci of the map f. Most results are only for the case dimX=1.
Edoardo Ballico
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Degree Complexity of a Family of Birational Maps [PDF]
Mathematical Physics, Analysis and Geometry, 2008 We compute the degree complexity of a family of birational mappings of the plane with high order singularities.
Bedford, Eric +4 more
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