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Hilbert polynomials of non-standard bigraded algebras

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This paper investigates Hilbert polynomials of bigraded algebras which are generated by elements of bidegrees $(1,0), (d_1,1),\ldots,(d_r,1)$, where $d_1,\ldots,d_r$ are non-negative integers. The obtained results can be applied to study Rees algebras of homogeneous ideals and their diagonal subalgebras.

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Authors and Affiliations

  1. Department of Mathematics, Hanoi Pedagogical University, Vietnam

    Nguyên Duc Hoang

  2. Institute of Mathematics, 631, Bò Hô, 10000, Hanoi, Vietnam

    Ngô Viêt Trung

Authors
  1. Nguyên Duc Hoang
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  2. Ngô Viêt Trung
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Correspondence to Ngô Viêt Trung.

Additional information

Mathematics Subject Classification (1991):13D40, 13H15.

The authors are partially supported by the National Basic Research Program of\break Vietnam.

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Hoang, N., Trung, N. Hilbert polynomials of non-standard bigraded algebras. Math. Z. 245, 309–334 (2003). https://doi.org/10.1007/s00209-003-0546-7

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