Results 31 to 40 of about 555 (183)
Entropy of meromorphic maps and dynamics of birational maps [PDF]
Mémoires de la Société mathématique de France, 2010 We study the dynamics of meromorphic maps for a compact Kaehler manifold X. More precisely, we give a simple criterion that allows us to produce a measure of maximal entropy. We can apply this result to bound the Lyapunov exponents. Then, we study the particular case of a family of generic birational maps of P^k for which we construct the Green ...
de Thélin, Henry, Vigny, Gabriel
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Energy and invariant measures for birational surface maps [PDF]
Duke Mathematical Journal, 2005 When a birational surface map is expanding on cohomology there is a canonical way to associate positive closed currents to the map and its inverse. In this paper we use a version of Dirichlet energy to construct the wedge product of these two currents under a very weak additional condition on the map. We show that the resulting measure is invariant and
Bedford, Eric, Diller, Jeffrey
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Equivalent birational embeddings.
, 2009 Let X be a projective variety of dimension r. We want to understand when two birational embeddings of the same variety are equivalent up to a Cremona transformation of the projective space, in this case we say that they are Cremona equivalent.
MELLA, Massimiliano, Polastri, Elena
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Rationality and equivariant birational geometry of Fano varieties [PDF]
This thesis is about birational geometry of Fano varieties and their properties. Firstly, we study the rationality of Fano-Enriques threefolds, which are certain three-dimensional non-Gorenstein Fano varieties of index 1 with at most canonical ...
Sarikyan, Arman
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On certain K-equivalent birational maps
, 2019 A simple birational map is a K-equivalent birational map which is resolved by a single blowing-up. Examples of such maps include standard flops and twisted Mukai flops.
Duo Li, Li, D.
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Periodic orbits of planar integrable birational maps [PDF]
, 2014 A birational planar map F possessing a rational first integral preserves a foliation of the plane given by algebraic curves which, if F is not globally periodic, is given by a foliation of curves that have generically genus 0 or 1. In the genus 1 case,
Mañosa Fernández, Víctor +1 more
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Taiwanese Journal of Mathematics, 2015 We show that 3-fold terminal flips and divisorial contractions may be factored into a sequence of flops, blow-downs to a smooth curve in a smooth 3-fold or divisorial contractions to points with minimal discrepancies.
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Birational maps and Nori motives
, 2023 In this note, we sketch an approach to the problems of equivariant birational geometry developed by M. Kontsevich and Yu. Tschinkel, where Burnside invariants were introduced. We are making explicit the role of Nori constructions in this environment.
Combe, N., Manin, Y., Marcolli, M.
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Reconstructing birational maps from their face functions
, 1992 We first prove that any birational map, from an affine space of dimension ≥ 2 to itself, is not determined by its face functions. On the other hand, we prove that a birational map with irreducibly polynomial inverse is completely determined, within the ...
Li, W, Yu, JT
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On the Quot scheme QuotSl(E)$\mathrm{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We study the geometry of the Quot scheme QuotSl(E)$\operatorname{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$ of length l$l$ coherent sheaf quotients of a locally free sheaf E$\mathcal {E}$ on a smooth projective surface S$\mathrm{S}$. In particular, we investigate the nature of its singularities, its intersection theory, and the cohomology of ...
Samuel Stark
wiley +1 more source