Results 31 to 40 of about 2,303 (59)

Interpolation of fat points on K3 and abelian surfaces

Bulletin of the London Mathematical Society, Volume 56, Issue 9, Page 2863-2873, September 2024.
Abstract We prove that any number of general fat points of any multiplicities impose the expected number of conditions on a linear system on a smooth projective surface, in several cases including primitive linear systems on very general K3 and abelian surfaces, “Du Val” linear systems on blowups of P2${\mathbb {P}}^2$ at nine very general points, and ...
Adrian Zahariuc
wiley   +1 more source

I‐surfaces from surfaces with one exceptional unimodal point

Mathematische Nachrichten, Volume 297, Issue 6, Page 2175-2197, June 2024.
Abstract We complement recent work of Gallardo, Pearlstein, Schaffler, and Zhang, showing that the stable surfaces with KX2=1$K_X^2 =1$ and χ(OX)=3$\chi (\mathcal {O}_X) = 3$ they construct are indeed the only ones arising from imposing an exceptional unimodal double point.
Sönke Rollenske, Diana Torres
wiley   +1 more source

K3 surfaces of Kummer type in characteristic two

Bulletin of the London Mathematical Society, Volume 56, Issue 6, Page 1903-1919, June 2024.
Abstract We discuss K3 surfaces in characteristic two that contain the Kummer configuration of smooth rational curves.
Igor V. Dolgachev
wiley   +1 more source

Automorphisms of del Pezzo surfaces in odd characteristic

Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.
Abstract We complete the classification of automorphism groups of del Pezzo surfaces over algebraically closed fields of odd positive characteristic.
Igor Dolgachev, Gebhard Martin
wiley   +1 more source

Curves on Rational Surfaces with Hyperelliptic Hyperplane Sections [PDF]

, 2011
In this article we study, given a pair of integers (d,g), the problem of existence of a smooth, irreducible, non-degenerate curve in the projective n-domensional space of degree d and genus g (the Halphen-Castelnuovo Problem).
Pasarescu, Ovidiu
core  

Logarithmic cotangent bundles, Chern‐Mather classes, and the Huh‐Sturmfels involution conjecture

Communications on Pure and Applied Mathematics, Volume 77, Issue 2, Page 1486-1508, February 2024.
Abstract Using compactifications in the logarithmic cotangent bundle, we obtain a formula for the Chern classes of the pushforward of Lagrangian cycles under an open embedding with normal crossing complement. This generalizes earlier results of Aluffi and Wu‐Zhou.
Laurenţiu G. Maxim, Jose Israel Rodriguez, Botong Wang, Lei Wu   +3 more
wiley   +1 more source

Asymptotic cohomological functions on projective varieties

, 2004
In this paper we define certain analogues of the volume of a divisor - called asymptotic cohomological functions - and investigate their behaviour on the Neron--Severi space. We establish that asymptotic cohomological functions are invariant with respect
Kuronya, Alex
core   +1 more source

On the arithmetic of simple singularities of type E. [PDF]

Res Number Theory, 2018
Romano B, Thorne JA.
europepmc   +1 more source

Geometric properties of commutative subalgebras of partial differential operators

, 2015
Kurke, H., Zheglov, A.
core   +1 more source

Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly