Project/scholarship details

  • Funder

    FCT - Fundação para a Ciência e a Tecnologia, I.P.

  • Funder's country

    Portugal

  • Funding program

    3599-PPCDT

  • Funding amount

    105,000.00 €

  • Start date

    2010-01-25

  • End date

    2013-07-24

Documents

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Parallel Kustin-Miller unprojection with an application to Calabi-Yau geometry

Neves, Jorge; Papadakis, Stavros Argyrios

Kustin--Miller unprojection constructs more complicated Gorenstein rings from simpler ones. Geometrically, it inverts certain projections, and appears in the constructions of explicit birational geometry. However, it is often desirable to perform not only one but a series of unprojections. The main aim of the present paper is to develop a theory, which we call parallel Kustin--Miller unprojection, that applies ...

Date: 2013   |   Origin: Estudo Geral - Universidade de Coimbra
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Unprojection and deformations of tertiary Burniat surfaces

Neves, Jorge; Pignatelli, Roberto

We construct a 4-dimensional family of surfaces of general type with p_g=0 and K^2=3 and fundamental group Z/2xQ_8, where Q_8 is the quaternion group. The family constructed contains the Burniat surfaces with K^2=3. Additionally, we construct the universal coverings of the surfaces in our family as complete intersections on (\PP^1)^4 and we also give an action of Z/2xQ_8 on (\PP^1)^4 lifting the natural action ...

Date: 2014   |   Origin: Estudo Geral - Universidade de Coimbra
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