LAUSR

Symmetric designs and projective special linear groups of dimension at most four

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1 Published in 2020 at "Journal of Combinatorial Designs"

DOI: 10.1002/jcd.21738

Abstract: In this article, we study symmetric ( v , k , λ ) designs admitting a flag‐transitive and point‐primitive automorphism group G whose socle is isomorphic to a projective special linear group of dimension at… read more here.

Keywords: symmetric designs; designs projective; special linear; dimension four ... See more keywords

The radial defocusing energy-supercritical NLS in dimension four

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0 Published in 2017 at "Journal of Differential Equations"

DOI: 10.1016/j.jde.2017.01.005

Abstract: Abstract We consider the radial defocusing nonlinear Schrodinger equations i u t + Δ u = | u | p u with supercritical exponent p > 4 in four space dimensions, and prove that any… read more here.

Keywords: energy supercritical; defocusing energy; supercritical nls; radial defocusing ... See more keywords

A tight bound on the projective dimension of four quadrics

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1 Published in 2018 at "Journal of Pure and Applied Algebra"

DOI: 10.1016/j.jpaa.2017.10.005

Abstract: Motivated by Stillman's question, we show that the projective dimension of an ideal generated by four quadric forms in a polynomial ring is at most 6; moreover, this bound is tight. We achieve this bound,… read more here.

Keywords: dimension; tight bound; four quadrics; bound projective ... See more keywords