Singularities, Representation of Algebras and Vector Bundles

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The Clifford dimension of a projective curve. Compositio Mathematica. Remarks on points in a projective space. David Eisenbud, Jee-Heub Koh. Commutative algebra Berkeley, CA, MSRI Publications. Rank varieties of matrices. David Eisenbud, David Saltman. Ideals with a regular sequence as syzygy.

David Eisenbud, Craig Huneke. Grothendieck Festschrift, Vol. Unpublished more detailed version of Ideals with a regular sequence as syzygy. Graph curves. With an appendix by Sung Won Park. Dave Bayer, David Eisenbud. Some linear syzygy conjectures. David Eisenbud, Jee Koh. On the Hurwitz scheme and its monodromy. Green's conjecture: An orientation for algebraists. Free resolutions in commutative algebra and algebraic geometry Sundance, UT, Research Notes in Mathematics.

The dimension of the Chow variety of curves.


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Direct methods for primary decomposition. Regularity of modules over a Koszul algebra. Luchezar L. Avramov, David Eisenbud. Finite projective schemes in linearly general position. Journal of Algebraic Geometry. An intersection bound for rank 1 loci, with applications to Castelnuovo and Clifford theory. Open problems in computational algebraic geometry. Computational algebraic geometry and commutative algebra Cortona, Higher Castelnuovo theory.

Juggling drops and descents. The American Mathematical Monthly. Nets of alternating matrices and the linear syzygy conjectures. Finding sparse systems of parameters. David Eisenbud, Bernd Sturmfels. Ideals of minors in free resolutions. David Eisenbud, Mark L. Duke Mathematical Journal. Initial ideals, Veronese subrings, and rates of algebras. Ribbons and their canonical embeddings. Clifford indices of ribbons. David Eisenbud, Mark Green. Cayley-Bacharach theorems and conjectures. Binomial ideals. Modules that are finite birational algebras. David Eisenbud, Bernd Ulrich. Illinois Journal of Mathematics.

Evolutions, symbolic squares, and Fitting ideals. David Eisenbud, Barry Mazur. Proceedings of the AMS. Computation of cohomology. Springer-Verlag, Berlin, ISBN: Algorithms and Computation in Mathematics. Lattice walks and primary decomposition. Chains of maps between indecomposable modules. Gale duality and free resolutions of ideals of points. David Eisenbud, Sorin Popescu. Wolfgang Vogel: Reminiscences of a mathematical friendship. Edited by David Eisenbud.

Yuriy Drozd - Publications

Springer-Verlag Singapore, Singapore, Commutative algebra, algebraic geometry, and computational methods. Syzygy ideals for determinantal ideals and the syzygetic Castelnuovo lemma. Cohomology on toric varieties and local cohomology with monomial supports. Symbolic computation in algebra, analysis, and geometry Berkeley, CA, Journal of Symbolic Computation.

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The projective geometry of the Gale transform. Enriques surfaces and other non-Pfaffian subcanonical subschemes of codimension 3. Special issue in honor of Robin Hartshorne. Communications in Algebra. Hilbert functions, residual intersections, and residually S2 ideals.

Lagrangian subbundles and codimension 3 subcanonical subschemes. A simple proof of some generalized principal ideal theorems.

Mathematics comes from many sources David Eisenbud, interviewed by Sara Robinson. Mathematics unlimited and beyond. Appendix to Jet schemes of locally complete intersection canonical singularities by Mircea Mustata. David Eisenbud, Edward Frenkel. Exterior algebra methods for the minimal resolution conjecture. Projective geometry and homological algebra.

Computations in algebraic geometry with Macaulay 2.

Introduction to the mathematics of general relativity

Sheaf algorithms using the exterior algebra. Wolfram Decker, David Eisenbud. Periodic resolutions over exterior algebras. Special issue in celebration of Claudio Procesi's 60th birthday. What is the Rees algebra of a module? Presidential views: Interview with David Eisenbud.

Physics X: Fiber Bundles (inching towards the Calabi-Yau horizon)

Allyn Jackson. Notices of the AMS. Resultants and Chow forms via exterior syzygies. Journal of the AMS. Hyperplane arrangement cohomology and monomials in the exterior algebra.

List of publications

An exterior view of modules and sheaves. Hyderabad, Advances in Algebra and Geometry. Sheaf cohomology and free resolutions over exterior algebras. David Eisenbud, Jerzy Weyman. A note on the intersection of Veronese surfaces. Commutative algebra, singularities and computer algebra Sinaia, Heights of ideals of minors. Order ideals and a generalized Krull height theorem. Lectures on the geometry of syzygies. With a chapter by Jessica Sidman.

Trends in commutative algebra. Classical algebraic geometry: Abstracts from the workshop held June July 3, Oberwolfach Reports. Presidential reflections: Interview with David Eisenbud. A finiteness property of infinite resolutions. Preface to Saunders Mac Lane: A mathematical autobiography. A K Peters, Ltd. Wellesley, MA, Restricting linear syzygies: Algebra and geometry. Relative Beilinson monad and direct image for families of coherent sheaves.

David Eisenbud, Frank-Olaf Schreyer. The regularity of Tor and graded Betti numbers. Small schemes and varieties of minimal degree.


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BSB B. Teubner Verlagsgesellschaft, Leipzig. Hodge algebras. Three-dimensional link theory and invariants of plane curve singularities. David Eisenbud, Walter Neumann. Annals of mathematics studies. ISBN: ; Algebraic geometry, Bowdoin, , Part 1. Spencer J. Bloch [Ed. Clemens, D.

Eisenbud, W. Fulton, D. Gieseker, J. Harris, R. Hartshorne, S. Proceedings of the summer research institute held at Bowdoin College, Brunswick, Maine, July , Proceedings of symposia in pure mathematics. Algebraic geometry, Bowdoin, , Part 2. ISBN: X. Free resolutions in commutative algebra and algebraic geometry: Sundance David Eisenbud, Craig Huneke [Eds. Proceedings of the Sundance Conference, Sundance, Utah, Jones and Bartlett, Boston. Research notes in mathematics. Schemes: The language of modern algebraic geometry.


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Computational algebraic geometry and commutative algebra: Cortona, David Eisenbud, Lorenzo Robbiano [Eds. Cambridge University Press, Cambridge, England. Lecture Notes in Mathematics Free Preview. Buy eBook. Buy Softcover. FAQ Policy. About this book It is well known that there are close relations between classes of singularities and representation theory via the McKay correspondence and between representation theory and vector bundles on projective spaces via the Bernstein-Gelfand-Gelfand construction.

Show all. Table of contents 21 chapters Table of contents 21 chapters Survey of vector bundles on curves Pages Narasimhan, M. Finite dimensional algebras and singularities Pages Reiten, Idun. Monomial curves and obstructions on cyclic quotient singularities Pages Christophersen, Jan Arthur. Deformation of modules on curves and surfaces Pages Rego, C.

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A characterisation of strictly unimodular plane curve singularities Pages Schappert, Albert. Polar curves, resolution of singularities and the filtered mixed hodge structure on the vanishing cohomology Pages Steenbrink, Joseph et al. On the betti numbers of the milnor fibre of a certain class of hypersurface singularities Pages Straten, D. Reflexive modules on cyclic quotient surface singularities Pages Wunram, J.

The auslander-reiten quiver of an isolated singularity Pages Dieterich, Ernst. A class of weighted projective curves arising in representation theory of finite dimensional algebras Pages Geigle, Werner et al. Repetitive categories Pages Happel, Dieter. Almost split sequences for some non-classical lattice categories Pages Roggenkamp, K. On the rationality of the moduli space for stable rank-2 vector bunoles on P2 Pages Ellingsrud, G.