Birs- 18w5133: New Trends in Syzygies

  1. Title:
    Koszul modules and the Green conjecture

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  2. Title:
    Variations on the minimal resolution conjecture

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  3. Title:
    A-hypergeometric rank jumps from local cohomology in codimension 2

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  4. Title:
    Cohomologically full rings

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  5. Title:
    Residual Intersections: Socles and Duality

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  6. Title:
    On a problem of Poincaré: Bounds on degrees of vector fields

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  7. Title:
    Big polynomial rings and Stillman's conjecture

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  8. Title:
    Fibers of rational maps and Jacobian matrices

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  9. Title:
    Maximal syzygies in Hilbert schemes of monomial complete intersections

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  10. Title:
    The absolutely Koszul and Backelin-Roos properties for spaces of quadrics of small codimension

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  11. Title:
    An unexpected property of some residual intersections

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  12. Title:
    A generalization of Macaulay’s correspondence for Gorenstein k-algebras and applications

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  13. Title:
    Regularity and h-polynomials of monomial ideals

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  14. Title:
    Square-free Groebner degenerations

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  15. Title:
    Non-Koszul Quadratic Gorenstein rings via Idealization

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  16. Title:
    Graded Betti numbers of balanced simplicial complexes

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  17. Title:
    Lefschetz properties of fiber products and connected sums

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  18. Title:
    O_X regularity bound for smooth varieties with classification of extremal and next to extremal examples

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  19. Title:
    h-vectors and the number of generators of fundamental groups

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