Results 11 to 20 of about 69 (57)
Versatile P[acman] BAC libraries for transgenesis studies in Drosophila melanogaster. [PDF]
Nat Methods, 2009 We constructed Drosophila melanogaster BAC libraries with 21-kb and 83-kb inserts in the P(acman) system. Clones representing 12-fold coverage and encompassing more than 95percent of annotated genes were mapped onto the reference genome. These clones can
Venken KJ +11 more
europepmc +4 more sources
A curious identity that implies Faber's conjecture [PDF]
, 2022 We prove that a curious generating series identity implies Faber'sintersection number conjecture (by showing that it implies a combinatorialidentity already given in arXiv:1902.02742) and give a new proof of Faber'sconjecture by directly proving this ...
Garcia-Failde, E., Zagier, D.
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Stability of the Levi-Civita tensors and an Alon–Tarsi type theorem [PDF]
, 2023 We show that the Levi-Civita tensors are semistable in the sense of Geometric Invariant Theory, which is equivalent to an analogue of the Alon–Tarsi conjecture on Latin squares.
Yeliussizov, Damir
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A note on Bridgeland stability conditions and Catalan numbers
, 2021 In this short note, we describe a problem in algebraic geometry where the solution involves Catalan numbers. More specifically, we consider the derived category of coherent sheaves on an elliptic surface, and the action of its autoequivalence group on ...
Lo, Jason, Wong, Karissa
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Permutation module decomposition of the second cohomology of a regular semisimple Hessenberg variety
, 2021 Regular semisimple Hessenberg varieties admit actions of associated Weyl groups on their cohomology space of each degree. In this paper, we consider the module structure of the cohomology spaces of regular semisimple Hessenberg varieties of type $A$.
Cho, Soojin +2 more
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On flagged $K$-theoretic symmetric polynomials
, 2023 We provide a fermionic description of flagged skew Grothendieck polynomials, which can be seen as a $K$-theoretic counterpart of flagged skew Schur polynomials. Our proof relies on the Jacobi-Trudi type formula established by Matsumura.
Iwao, Shinsuke
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Geproci sets on skew lines in $\mathbb P^3$ with two transversals
, 2023 The purpose of this work is to pursue classification of geproci sets. Specifically we classify $[m,n]$-geproci sets which consist of $m=4$ points on each of $n$ skew lines, assuming the skew lines have two transversals in common.
Chiantini, Luca +8 more
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James reduced product schemes and double quasisymmetric functions
, 2023 Symmetric function theory is a key ingredient in the Schubert calculus of Grassmannians. Quasisymmetric functions are analogues that are similarly central to algebraic combinatorics, but for which the associated geometry is poorly developed.
Pechenik, Oliver, Satriano, Matthew
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Vanishing of Schubert coefficients via the effective Hilbert nullstellensatz
Forum of Mathematics, SigmaSchubert Vanishing is a problem of deciding whether Schubert coefficients are zero. Until this work it was open whether this problem is in the polynomial hierarchy ${{\mathsf {PH}}}$ .
Igor Pak, Colleen Robichaux
doaj +1 more source
Photography principle, data transmission, and invariants of manifolds
, 2023 In the present paper we develop the techniques suggested in \cite{ManturovNikonov} and the photography principle \cite{ManturovWan} to open a very broad path for constructing invariants for manifolds of dimensions greater than or equal to ...
Kauffman, L. +3 more
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