共查询到20条相似文献,搜索用时 15 毫秒
1.
HIRONOBU Ishihara 《Geometriae Dedicata》1997,67(3):309-336
Several classification results for ample vector bundles of rank 2 on Hirzebruch surfaces, and on Del Pezzo surfaces, are obtained. In particular, we classify rank 2 ample vector bundles with c2 less than seven on Hirzebruch surfaces, and with c2 less than four on Del Pezzo surfaces. 相似文献
2.
János Kollár 《Journal of Geometric Analysis》2005,15(3):445-476
The aim of this article is to study Seifert bundle structures on simply connected 5-manifolds. We classify all such 5-manifolds which admit a positive Seifert bundle structure, and in a few cases all Seifert bundle structures are also classified. These results are then used to construct positive Ricci curvature Einstein metrics on these manifolds. The proof has 4 main steps. First, the study of the Leray spectral sequence of the Seifert bundle, based on work of Orlik-Wagreich. Second, the study of log Del Pezzo surfaces. Third, the construction of Kähler-Einstein metrics on Del Pezzo orbifolds using the algebraic existence criterion of Demailly-Kollár. Fourth, the lifting of the Kähler-Einstein metric on the base of a Seifert bundle to an Einstein metric on the total space using the Kobayashi-Boyer-Galicki method. 相似文献
3.
Yu. G. Zarhin 《Mathematische Annalen》2008,340(2):407-435
We construct absolutely simple jacobians of nonhyperelliptic genus 4 curves, using Del Pezzo surfaces of degree 1. 相似文献
4.
《Chaos, solitons, and fractals》2002,13(6):1371-1373
It is pointed out that the hierarchy of fractal dimensions characterizing transfinite heterotic string space-times bears a striking resemblance to the sequence of the number of lines lying on Del Pezzo surfaces. 相似文献
5.
Sandra di Rocco 《Mathematische Nachrichten》1996,179(1):47-56
A k-very ample line bundle L on a Del Pezzo Surface is numerically characterized, improving the results of Biancofiore— Ceresa in [7]. 相似文献
6.
Kristina Frantzen 《Mathematische Annalen》2011,350(4):757-791
K3-surfaces with antisymplectic involution and compatible symplectic actions of finite groups are considered. In this situation
actions of large finite groups of symplectic transformations are shown to arise via double covers of Del Pezzo surfaces, and
a complete classification of K3-surfaces with maximal symplectic symmetry is obtained. 相似文献
7.
M. Grinenko 《Journal of Mathematical Sciences》2000,102(2):3933-3937
In this note, we discuss birational properties of some three-dimensional Del Pezzo fibrations of degree two.
Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 62, Algebraic
Geometry-10, 1999. 相似文献
8.
E. Shustin 《Proceedings of the Steklov Institute of Mathematics》2007,258(1):218-246
The Welschinger invariants of real rational algebraic surfaces are natural analogs of the Gromov-Witten invariants, and they
estimate from below the number of real rational curves passing through prescribed configurations of points. We establish a
tropical formula for the Welschinger invariants of four toric Del Pezzo surfaces equipped with a nonstandard real structure.
Such a formula for real toric Del Pezzo surfaces with a standard real structure (i.e., naturally compatible with the toric
structure) was established by Mikhalkin and the author. As a consequence we prove that for any real ample divisor D on a surface Σ under consideration, through any generic configuration of c
1(Σ)D − 1 generic real points, there passes a real rational curve belonging to the linear system |D|.
To Vladimir Igorevich Arnold on the occasion of his 70th birthday 相似文献
9.
We report on our project to construct non-singular cubic surfaces over
\mathbbQ{\mathbb{Q}} with a rational line. Our method is to start with degree 4 Del Pezzo surfaces in diagonal form. For these, we develop an
explicit version of Galois descent. 相似文献
10.
We compute the rational Betti cohomology groups of the coarse moduli spaces of geometrically marked Del Pezzo surfaces of degree 3 and 4 as representations of the Weyl groups of the corresponding root systems. The proof uses a blend of methods from point counting over finite fields and techniques from arrangement complements. 相似文献
11.
Takeshi Kajiwara 《Archiv der Mathematik》2006,86(1):43-49
We show fundamental properties on embedding of abelian surfaces into projective toric 4-folds, and study the case of the toric
Del Pezzo 4-fold from the viewpoint of the moduli space of abelian surfaces with polarization of type (1, 5).
Received: 31 January 2005; revised: 15 April 2005 相似文献
12.
Fumiharu Kato 《manuscripta mathematica》2001,104(4):451-458
We discuss Mumford curves in the pencil on a Del Pezzo quintic surface constructed by Edge [Ed1]. The abstract group structures
of the normalizer of the corresponding Schottky groups are described, which give us some knowledges on Mumford loci in moduli
space of curves.
Received: 5 July 2000 / Accepted: 23 October 2000 相似文献
13.
Del Pezzo surfaces over with log terminal singularities of index ≤ 2 were classified by Alekseev and Nikulin. In this paper, for each of these surfaces,
we find an appropriate morphism to projective space. These morphisms enable us to describe equations of natural embeddings
of log del Pezzo surfaces of index ≤ 2 in some weighted projective space. The results obtained give a completion of similar
results of Du Val, Hidaka, and Watanabe, describing del Pezzo surfaces of index 1.
The work was done during the authors’ stay at the University of Liverpool supported by the Marie Curie program in Autumn 2004. 相似文献
14.
V. V. Shokurov 《Journal of Mathematical Sciences》2000,102(2):3876-3932
The main result is a boundedness theorem forn-complements on algebraic surfaces. In addition, this theorem is used in a classification of log Del Pezzo surfaces and birational
contractions for threefolds.
Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 62, Algebraic
Geometry-10, 1999. 相似文献
15.
In this paper we give an upper bound for the Picard number of the rational surfaces which resolve minimally the singularities
of toric log Del Pezzo surfaces of given index ℓ. This upper bound turns out to be a quadratic polynomial in the variable ℓ.
Received: 18 June 2008 相似文献
16.
We give a recursive formula for purely real Welschinger invariants of real Del Pezzo surfaces of degree K 2 ≥ 3, where in the case of surfaces of degree 3 with two real components we introduce a certain modification of Welschinger invariants and enumerate exclusively the curves traced on the non-orientable component. As an application, we prove the positivity of the invariants under consideration and their logarithmic asymptotic equivalence, as well as congruence modulo 4, to genus zero Gromov–Witten invariants. 相似文献
17.
We study homological mirror symmetry for Del Pezzo surfaces and their mirror Landau-Ginzburg models. In particular, we show that the derived category of coherent sheaves on a Del Pezzo surface X
k
obtained by blowing up ℂℙ2 at k points is equivalent to the derived category of vanishing cycles of a certain elliptic fibration W
k
:M
k
→ℂ with k+3 singular fibers, equipped with a suitable symplectic form. Moreover, we also show that this mirror correspondence between derived categories can be extended to noncommutative deformations of X
k
, and give an explicit correspondence between the deformation parameters for X
k
and the cohomology class [B+iω]∈H
2(M
k
,ℂ). 相似文献
18.
MOHAMED SAÏDI 《Compositio Mathematica》1997,107(3):319-338
Let R be a discrete complete valuation ring, with algebraically closedresidue field. Let X be a semi-stable R-curve, with smooth generic fibre. In this paper we study tame coverings of X. 相似文献
19.
We classify smooth del Pezzo surfaces whose α-invariant of Tian is bigger than 1. 相似文献
20.
Alberto Dolcetti 《Annali dell'Universita di Ferrara》2001,47(1):231-241
In this note we classify subcanonical, Gorenstein and complete intersection smooth connected curves lying on del Pezzo surfaces,
by showing their classes in Picard groups of the surfaces.
To Mario Fiorentini 相似文献
Sunto In questa nota si classificano le curve liscie connesse, che sono sottocanoniche, Gorenstein o intersezioni complete, tracciate sulle superfici di del Pezzo, esibendone le classi nei gruppi di Picard delle superfici stesse.
To Mario Fiorentini 相似文献