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Algebraic Geometry papers — page 4

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Construction de familles minimales de courbes gauches
Let A be a local noetherian ring and N be a locally sheaf on the projective space P3A : one proves easily that there exists a family C of (smooth connected) curves contained in P3A,…
Robin Hartshorne, Mireille Martin-Deschamps, Daniel PerrinNov 6, 1997
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Beyond the Manin obstruction
We construct a (smooth, projective) surface over the field of rational numbers, which is a counterexample to the Hasse principle not accounted for by the Manin obstruction. The construction relies on…
Alexei SkorobogatovNov 5, 1997
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On higher order embeddings of Fano threefolds by the anticanonical linear system
The map given by the anticanonical bundle of a Fano manifold is investigated with respect to a number of natural notions of higher order embeddings of projective manifolds. This is of importance in…
M. C. Beltrametti, S. Di Rocco, A. J. SommeseNov 5, 1997
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Some fundamental problems on real-analytic sets
The category of real-analytic sets and real-analytic maps is the most important category in application. However, in spite of efforts by F. Bruhat, H. Cartan, H. Whitney et al., the basic theory of…
Tohsuke UrabeNov 4, 1997
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Approximation by smooth curves near the tangent cone
We show that through a point of an affine variety there always exists a smooth plane curve inside the ambient affine space, which has the multiplicity of intersection with the variety at least 3.…
Anvar R. MavlyutovNov 3, 1997
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Pure Hodge structure on the L2-cohomology of varieties with isolated singularities
Let V be a complex projective variety with isolated singularities. Let the smooth part be given the metric induced by a projective imbedding. Then we develop the L2 harmonic theory and construct…
William Pardon, Mark SternNov 3, 1997
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Resonant Hypergeometric Systems and Mirror Symmetry
The Gamma-series of Gel'fand-Kapranov-Zelevinsky are adapted so that they give solutions for certain resonant systems of GKZ hypergeometric differential equations. For this some complex…
Jan StienstraNov 3, 1997
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On the variety of rational space curves
We consider the locus of irreducible nonsingular rational curves of degree d Pn, n>2, meeting a generic collection of linear subspaces. When this locus is 0 (resp 1)- dimensional, we compute…
Z. RanOct 30, 1997
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On the k-normality of some projective manifolds
A long standing conjecture, known to us as the Eisenbud Goto conjecture, states that an n-dimensional variety embedded with degree d in the N- dimensional projective space is…
Alberto Alzati, Gian Mario BesanaOct 29, 1997
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On the infinitesimal rigidity of homogeneous varieties
Let X⊂ PN be a variety (respectively a patch of an analytic submanifold) and let x∈ X be a general point. We show that if the projective second fundamental form of X at x is…
J. M. LandsbergOct 29, 1997
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Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields
We construct a generalization of the variations of Hodge structures on Calabi-Yau manifolds. It gives a Mirror partner for the theory of genus=0 Gromov-Witten invariants
Sergey Barannikov, Maxim KontsevichOct 28, 1997
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The universal rank-(n-1) bundle on G(1,n) restricted to subvarieties
We classify those smooth (n-1)-folds in G(1,n) for which the restriction of the rank-(n-1) universal bundle has more than n+1 independent sections. As an aplication, we classify also those…
Enrique ArrondoOct 27, 1997
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Injective resolutions of BG and derived moduli spaces of local systems
It was suggested on several occasions by Deligne, Drinfeld and Kontsevich that all the moduli spaces arising in the classical problems of deformation theory should be extended to natural…
M. KapranovOct 24, 1997
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Hyperkaehler structures on total spaces of holomorphic cotangent bundles
Let M be a Kaehler manifold, and consider the total space T*M of the cotangent bundle to M. We show that in the formal neighborhood of the zero section M ⊂ T*M the space T*M admits…
D. KaledinOct 23, 1997
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Minimal even sets of nodes
We extend some results on even sets of nodes which have been proved for surfaces up to degree 6 to surfaces up to degree 10. In particular, we give a formula for the minimal cardinality of a nonempty…
Stephan EndrassOct 20, 1997
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The Geometry of the Space of Holomorphic Maps from a Riemann Surface into Complex Projective Space
In this paper we study the topology of the spaces Hol(M,Pn,k) of (basepoint preserving) holomorphic maps of a given degree k from a Riemann surface M of genus g>0 into the n-th complex projective…
S. Kallel, R. J. MilgramOct 20, 1997
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Conifold Transitions and Mirror Symmetry for Calabi-Yau Complete Intersections in Grassmannians
In this paper we show that conifold transitions between Calabi-Yau 3-folds can be used for the construction of mirror manifolds and for the computation of the instanton numbers of rational curves on…
Victor V. Batyrev, Ionunt Ciocan-Fontanine, Bumsig Kim et al.Oct 19, 1997
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Generation of k-jets on Toric Varieties
In this notes we study k-jet ample line bundles L on a non singular toric variety X, i.e. line bundles with global sections having arbitrarily prescribed k-jets at a finite number of points.…
Sandra Di RoccoOct 15, 1997
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Un théorème de Rao pour les familles de courbes gauches
The aim of this paper is to prove a generalization of a theorem of Rao for families of space curves, which caracterizes the biliaison classes of curves. First we introduce the concept of…
Robin Hartshorne, Mireille Martin-Deschamps, Daniel PerrinOct 15, 1997
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Generalized Reed-Muller codes and curves with many points
The weight hierarchy of generalized Reed-Muller codes over arbitrary finite fields was determined by Heijnen and Pellikaan. In this paper we produce curves over finite fields with many points which…
Gerard van der Geer, Marcel van der VlugtOct 13, 1997
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Moduli of Trigonal Curves
We study the moduli of trigonal curves. We establish the exact upper bound of 36(g+1)/(5g+1) for the slope of trigonal fibrations. Here, the slope of any fibration X B of stable curves with…
Zvezdelina E. Stankova-FrenkelOct 12, 1997
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The product formula for Gromov-Witten invariants
We prove that the system of Gromov-Witten invariants of the product of two varieties is equal to the tensor product of the systems of Gromov-Witten invariants of the two factors.
Kai BehrendOct 10, 1997
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Quasi-algebraic geometry of curves I. Riemann-Roch theorem and Jacobian
We discuss an analogue of Riemann-Roch theorem for curves with an infinite number of handles. We represent such a curve X by its Shottki model, which is an open subset U of CP1 with infinite union…
Ilya ZakharevichOct 10, 1997
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Invariant stable bundles over modular curves X(p)
We study stable vector bundles over the modular curve X(p) corresponding to the principal congruence subgroup of the modular group of prime level p which are invariant with respect to its…
Igor V. DolgachevOct 10, 1997
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Canonical rational equivalence of intersections of divisors
We consider the operation of intersecting with a locally principal Cartier divisor (i.e., a Cartier divisor which is principal on some neighborhood of its support). We describe this operation…
Andrew KreschOct 9, 1997
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