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20052026
most citedNon-vanishing for Koszul cohomology of curves

13 citations · 34 across the 22 of their papers we have counts for

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7 papers · 1 filter

math.AG2023

Cohomology of complete intersections of quadrics

Jan Nagel

We show that the variable cohomology of a general complete intersection of quadrics can be identified with the intersection cohomology of a double covering. As a consequence, we sh…

math.AG2020

Motivic decompositions of families with Tate fibers: smooth and singular cases

Mattia Cavicchi, Frédéric Déglise, Jan Nagel

We apply Wildeshaus's theory of motivic intermediate extensions to the motivic decomposition conjecture, formulated by Deninger-Murre and Corti-Hanamura. We first obtain a general…

math.AG2018★ 1 cited

The homotopy Leray spectral sequence

Aravind Asok, Frédéric Déglise, Jan Nagel

In this work, we build a spectral sequence in motivic homotopy that is analogous to both the Serre spectral sequence in algebraic topology and the Leray spectral sequence in algebr…

math.AG2017

On complete intersections in varieties with finite-dimensional motive

Robert Laterveer, Jan Nagel, Chris Peters

Let be a complete intersection inside a variety with finite dimensional motive and for which the Lefschetz-type conjecture holds. We show how conditions on the nivea…

math.AG2015★ 1 cited

The hybrid Landau-Ginzburg models of Calabi-Yau complete intersections

Alessandro Chiodo, Jan Nagel

We observe that the state space of Landau-Ginzburg isolated singularities is simply a special case of Chen-Ruan orbifold cohomology relative to the generic fibre of the potential.…

math.AG2008

Relative Chow-Kunneth decompositions for conic bundles and Prym varieties

Jan Nagel, Morihiko Saito

We construct a relative Chow-Kunneth decomposition for a conic bundle over a surface such that the middle projector gives the Prym variety of the associated double covering of the…