대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제38권1호
  • /
  • Pages.47-53
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  • 2023
  • /
  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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TERRACINI LOCI OF CODIMENSION 1 AND A CRITERION FOR PARTIALLY SYMMETRIC TENSORS

  • Edoardo Ballico (Department of Mathematics University of Trento)
  • 투고 : 2021.12.09
  • 심사 : 2022.04.22
  • 발행 : 2023.01.31
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초록

The Terracini t-locus of an embedded variety X ⊂ ℙr is the set of all cardinality t subsets of the smooth part of X at which a certain differential drops rank, i.e., the union of the associated double points is linearly dependent. We give an easy to check criterion to exclude some sets from the Terracini loci. This criterion applies to tensors and partially symmetric tensors. We discuss the non-existence of codimension 1 Terracini t-loci when t is the generic X-rank.

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참고문헌

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