Zobrazeno 1 - 10
of 24
pro vyhledávání: '"NOVOSELTSEV, ANDREY"'
Publikováno v:
Math. Z. 294 (2020), no. 1-2, 783-815
We study threefolds fibred by K3 surfaces admitting a lattice polarization by a certain class of rank 19 lattices. We begin by showing that any family of such K3 surfaces is completely determined by a map from the base of the family to the appropriat
Externí odkaz:
http://arxiv.org/abs/1701.03279
Publikováno v:
String-Math 2014, Proc. Symp. Pure Math., vol. 93, American Mathematical Society, 2016, pp. 263-287
We study threefolds fibred by Kummer surfaces associated to products of elliptic curves, that arise as resolved quotients of threefolds fibred by certain lattice polarized K3 surfaces under a fibrewise Nikulin involution. We present a general constru
Externí odkaz:
http://arxiv.org/abs/1501.04024
Publikováno v:
Adv. Math. 298 (2016), 369-392
We study threefolds fibred by mirror quartic K3 surfaces. We begin by showing that any family of such K3 surfaces is completely determined by a map from the base of the family to the moduli space of mirror quartic K3 surfaces. This is then used to gi
Externí odkaz:
http://arxiv.org/abs/1501.04019
Publikováno v:
Int. Math. Res. Notices (2015), No. 23, 12265-12318
We extend the notion of lattice polarization for K3 surfaces to families over a (not necessarily simply connected) base, in a way that gives control over the action of monodromy on the algebraic cycles, and discuss the uses of this new theory in the
Externí odkaz:
http://arxiv.org/abs/1312.6434
Publikováno v:
Recent Advances in Hodge Theory: Period Domains, Algebraic Cycles and Arithmetic (M. Kerr and G. Pearlstein, eds.), London Math. Soc. Lecture Note Ser., vol. 427, Cambridge University Press, 2016, pp. 165-227
We present a study of certain singular one-parameter subfamilies of Calabi-Yau threefolds realized as anticanonical hypersurfaces or complete intersections in toric varieties. Our attention to these families is motivated by the Doran-Morgan classific
Externí odkaz:
http://arxiv.org/abs/1312.6433
Autor:
Davis, Ryan, Doran, Charles, Gewiss, Adam, Novoseltsev, Andrey, Skjorshammer, Dmitri, Syryczuk, Alexa, Whitcher, Ursula
One may construct a large class of Calabi-Yau varieties by taking anticanonical hypersurfaces in toric varieties obtained from reflexive polytopes. If the intersection of a reflexive polytope with a hyperplane through the origin yields a lower-dimens
Externí odkaz:
http://arxiv.org/abs/1307.6514
Publikováno v:
Mirror Symmetry and Tropical Geometry, Contemporary Mathematics, vol. 527, Amer. Math. Soc., Providence, RI, 2010, pp. 1-14
We use Batyrev-Borisov's formula for the generating function of stringy Hodge numbers of Calabi-Yau varieties realized as complete intersections in toric varieties in order to get closed form expressions for Hodge numbers of Calabi-Yau threefolds in
Externí odkaz:
http://arxiv.org/abs/0907.2701
Autor:
Novoseltsev, Andrey
In this thesis we study the geometry of the fixed point set $\Sigma$ of a smooth mapping $\Phi: M\to M$ on a smooth compact Riemannian manifold $M$ without boundary by computing the asymptotic expansion of the deformed heat trace $\Trace \Phi\exp(t\D
Externí odkaz:
http://arxiv.org/abs/math/0507453
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.