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GromovWitten classes, quantum cohomology, and enumerative geometry
 Commun. Math. Phys
, 1994
"... The paper is devoted to the mathematical aspects of topological quantum field theory and its applications to enumerative problems of algebraic geometry. In particular, it contains an axiomatic treatment of Gromov–Witten classes, and a discussion of their properties for Fano varieties. Cohomological ..."
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Cited by 474 (3 self)
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Field Theories are defined, and it is proved that tree level theories are determined by their correlation functions. Application to counting rational curves on del Pezzo surfaces and projective spaces are given. Let V be a projective algebraic manifold. Methods of quantum field theory recently led to a
EXERCISES IN THE BIRATIONAL GEOMETRY OF ALGEBRAIC VARIETIES
, 2008
"... The book [KM98] gave an introduction to the birational geometry of algebraic varieties, as the subject stood in 1998. The developments of the last decade made the more advanced parts of Chapters 6 and 7 less important and the detailed treatment of surface singularities in Chapter 4 less necessary. H ..."
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Cited by 322 (1 self)
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smooth projective surfaces is a composite of blowups and blowdowns. Theorem 2. There are 3 species of “purebred ” surfaces: (Rational): For these surfaces the internal birational geometry is very complicated, but, up to birational equivalence, we have only P 2. These frequently appear in the classical
Some properties of the Cremona group
, 2012
"... We recall some properties, unfortunately not all, of the Cremona group. We first begin by presenting a nice proof of the amalgamated product structure of the wellknown subgroup of the Cremona group made up of the polynomial automorphisms of C2. Then we deal with the classification of birational ma ..."
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Cited by 3 (0 self)
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is either a torus, or a K3 surface, or an Enriques surface, or S is a nonminimal rational surface and f is conjugate to a birational map of the complex projective plane. We deal with results obtained in this last case: construction of such automorphisms, dynamical properties (rotation domains...).
Chlorpyrifos hazards to fish, wildlife, and invertebrates: a synoptic review.
 U.S. Fish and Wildlife Research Service. Biological Report
, 1988
"... Abstract Paraquat (1,1' dimethyl4,4'bipyridinium) and its dichloride salt (1,1', dimethyl4, 4'bipyridinium dichloride) are broadspectrum contact plant killers and herbage desiccants that were introduced commercially during the past 25 years. Today, they rank among the most ..."
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Cited by 279 (1 self)
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adsorbed to soils and sediments. Paraquat in surface soils generally photodecomposes in several weeks, but paraquat in subsurface soils and sediments may remain boundand biologically unavailablefor many years without significant degradation. Paraquat is not significantly accumulated by earthworms
The structure of complete stable minimal surfaces in 3manifolds of nonnegative scalar curvature.
 Comm. Pure Appli. Math.
, 1980
"... The purpose of this paper is to study minimal surfaces in threedimensional manifolds which, on each compact set, minimize area up to second order. If M is a minimal surface in a Riemannian threemanifold N, then the condition that M be stable is expressed analytically by the requirement that o n a ..."
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Cited by 192 (1 self)
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The purpose of this paper is to study minimal surfaces in threedimensional manifolds which, on each compact set, minimize area up to second order. If M is a minimal surface in a Riemannian threemanifold N, then the condition that M be stable is expressed analytically by the requirement that o n
Nonminimal scalarflat Kähler surfaces and parabolic stability
 Invent. Math
"... Abstract. A new construction is presented of scalarflat Kähler metrics on nonminimal ruled surfaces. The method is based on the resolution of singularities of orbifold ruled surfaces which are closely related to rank2 parabolically stable holomorphic bundles. This rather general construction is sh ..."
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Cited by 21 (5 self)
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Abstract. A new construction is presented of scalarflat Kähler metrics on nonminimal ruled surfaces. The method is based on the resolution of singularities of orbifold ruled surfaces which are closely related to rank2 parabolically stable holomorphic bundles. This rather general construction
Rational surfaces associated with affine root systems and geometry of the Painlevé equations
, 1999
"... We present a geometric approach to the theory of Painlev'e equations based on rational surfaces. Our starting point is a compact smooth rational surface X which has a unique anticanonical divisor D of canonical type. We classify all such surfaces X. To each X, there corresponds a root subsyste ..."
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Cited by 160 (6 self)
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We present a geometric approach to the theory of Painlev'e equations based on rational surfaces. Our starting point is a compact smooth rational surface X which has a unique anticanonical divisor D of canonical type. We classify all such surfaces X. To each X, there corresponds a root
THE BJÖRLING PROBLEM FOR NONMINIMAL CONSTANT MEAN CURVATURE SURFACES
, 908
"... Abstract. The classical Björling problem is to find the minimal surface containing a given real analytic curve with tangent planes prescribed along the curve. We consider the generalization of this problem to nonminimal constant mean curvature (CMC) surfaces, and show that it can be solved via the ..."
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Cited by 6 (4 self)
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Abstract. The classical Björling problem is to find the minimal surface containing a given real analytic curve with tangent planes prescribed along the curve. We consider the generalization of this problem to nonminimal constant mean curvature (CMC) surfaces, and show that it can be solved via
Computationally feasible VCG mechanisms
 In Proceedings of the Second ACM Conference on Electronic Commerce (EC’00
, 2000
"... A major achievement of mechanism design theory is a general method for the construction of truthful mechanisms called VCG. When applying this method to complex problems such as combinatorial auctions, a difficulty arises: VCG mechanisms are required to compute optimal outcomes and are therefore comp ..."
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Cited by 216 (6 self)
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that essentially all reasonable approximations or heuristics for combinatorial auctions as well as a wide class of cost minimization problems yield nontruthful VCGbased mechanisms. We generalize these results for affine maximizers. The second part of this paper proposes a general method for circumventing
Results 1  10
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