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6 papers · 2 filters
On the cohomological action of automorphisms of compact Kähler threefolds
Federico Lo Bianco
Extending well-known results on surfaces, we give bounds on the cohomological action of automorphisms of compact Kähler threefolds. More precisely, if the action is virtually unipo…
Hypersurfaces in weighted projective spaces over finite fields with applications to coding theory
Yves Aubry, Wouter Castryck, Sudhir R. Ghorpade +3
We consider the question of determining the maximum number of -rational points that can lie on a hypersurface of a given degree in a weighted projective space over th…
About J-flow, J-balanced metrics, uniform J-stability and K-stability
Yoshinori Hashimoto, Julien Keller
From the work of Dervan-Keller, there exists a quantization of the critical equation for the J-flow. This leads to the notion of J-balanced metrics. We prove that the existence of…
Differential uniformity and second order derivatives for generic polynomials
Yves Aubry, Fabien Herbaut
For any polynomial of we introduce the following characteristic of the distribution of its second order derivative,which extends the differential unifor…
Relative K-polystability of projective bundles over a curve
Vestislav Apostolov, Julien Keller
Let be the projectivization of a holomorphic vector bundle over a compact complex curve . We characterize the existence of an extremal Kähler metric on the ruled mani…
Whitney, Kuo-Verdier and Lipschitz stratifications for the surfaces y^a = t^b x^c +x^d
Dwi Juniati, Laurent Noirel, David Trotman
We specify the canonical stratifications satisfying respectively Whitney (a)-regularity, Whitney (b)-regularity, Kuo-Verdier (w)-regularity, and Mostowski (L)-regularity for the fa…