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Moduli spaces of stable varieties and applications

Project description

Constructing moduli spaces of high dimensional algebraic varieties

Introduced by Kollár and Shepherd-Barron, stable varieties are higher-dimensional generalisations of stable curves in algebraic geometry. Their conjectural moduli space classifies smooth projective varieties up to birational equivalence, while also providing a projective compactification. The latter is essential for applying algebraic geometry to the moduli space itself. The EU-funded MODSTABVAR project will construct the coarse moduli space of stable surfaces with fixed volume over the integers. This involves showing the minimal model program for three-dimensional algebraic variety that is projective over a one-dimensional mixed characteristic base. Project results will be very important to the fields of algebraic geometry and the arithmetic of higher-dimensional varieties.

Host institution

ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE
Net EU contribution
€ 1 201 370,00
Address
Batiment Ce 3316 Station 1
1015 Lausanne
Switzerland

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Region
Schweiz/Suisse/Svizzera Région lémanique Vaud
Activity type
Higher or Secondary Education Establishments
Other funding
€ 0,00

Beneficiaries (1)

ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE
Switzerland
Net EU contribution
€ 1 201 370,00
Address
Batiment Ce 3316 Station 1
1015 Lausanne

See on map

Region
Schweiz/Suisse/Svizzera Région lémanique Vaud
Activity type
Higher or Secondary Education Establishments
Other funding
€ 0,00