Results 41 to 50 of about 193 (115)
On the finiteness theorem for rational maps on a variety of general type
, 2009 The dominant rational maps of finite degree from a fixed variety to varieties of general type, up to birational isomorphisms, form a finite set. This has been known as the Iitaka-Severi conjecture, and is nowdays an established result, in virtue of ...
Lucio Guerra +4 more
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Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Twistor spaces are certain compact complex three‐folds with an additional real fibre bundle structure. We focus here on twistor spaces over P2#P2#P2${\mathbb {P}}^2\#{\mathbb {P}}^2\#{\mathbb {P}}^2$. Such spaces are either small resolutions of double solids or they can be described as modifications of conic bundles.
Bernd Kreußler, Jan Stevens
wiley +1 more source
Continua of periodic points for planar integrable rational maps [PDF]
, 2016 We present three alternative methodologies to find continua of periodic points with a prescribed period for rational maps having rational first integrals.
Llorens, Mireia +2 more
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F‐purity of binomial edge ideals
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract In 2012, Matsuda introduced the class of weakly closed graphs and investigated when binomial edge ideals are F‐pure. He proved that weakly closed binomial edge ideals are F‐pure whenever the base field has positive characteristic. He conjectured that: (i) when the base field has characteristic 2, every F‐pure binomial edge ideal comes from a ...
Adam LaClair, Jason McCullough
wiley +1 more source
Families of singular algebraic varieties that are rationally elliptic spaces
Mathematische Nachrichten, Volume 299, Issue 1, Page 214-223, January 2026.Abstract We discuss families of hypersurfaces with isolated singularities in projective space with the property that the sum of the ranks of the rational homotopy and the homology groups is finite. They represent infinitely many distinct homotopy types with all hypersurfaces having a nef canonical or anti‐canonical class.
A. Libgober
wiley +1 more source
On the birational geometry of M_{0,n}(P_1,d)
, 2004 Here we are interested in birational properties of the moduli space of stable maps to the complex projective line. IN particular, we determine the class of the canonical divisor in the rational Picard group and we investigate the cones of ample and ...
Gilberto Bini, Claudio Fontanari
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Dynamics of birational maps of P2
, 1996 . Inspired by work done for polynomial automorphisms, we apply pluripo-tential 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
Jeffrey Diller
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Towards Parallel Methods in Birational Geometry
135144Computational birational geometry is one of the key playing fields in an algorithmic approach to algebraic geometry, since birational maps are the fundamental way to relate algebraic varieties (or schemes).
Mirgain, Benjamin
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Dynamical Classification of some Birational Maps of C2 [PDF]
, 2014 This dissertation addresses three different problems in the study of discrete dynamical systems. Firstly, this work dynamically classifies a 9−parametric family of planar birational maps f : C2 → C2 that is f(x, y) = α0 + α1x + α2y, β0 + β1x ...
Zafar, Sundus
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Holomorphic self-maps of singular rational surfaces
, 2021 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
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