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20052018
most citedA remark on Fano 4-folds having (3,1)-type extremal contractions

1 citations · 2 across the 6 of their papers we have counts for

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6 papers

math.AG2018

Some examples of log Fano structures on blow-ups along subvarieties in products of two projective spaces

Toru Tsukioka

We consider the problem to determine which blow-ups along subvarieties in products of two projective spaces are log Fano. By describing the nef cones of such blow-ups with special…

math.AG2016★ 1 cited

On weak Fano manifolds with small contractions obtained by blow-ups of a product of projective spaces

Toru Tsukioka

We consider weak Fano manifolds with small contractions obtained by blowing up successively curves and subvarieties of codimension 2 in products of projective spaces. We give a cla…

math.AG2010

On the minimal length of extremal rays for Fano 4-folds

Toru Tsukioka

The minimum of intersection numbers of the anti-canonical divisor with rational curves on a Fano manifold is called pseudo-index. It is expected that the intersection number of ant…

math.AG2009

Fano manifolds obtained by blowing up along curves with maximal Picard number

Toru Tsukioka

The Picard number of a Fano manifold X obtained by blowing up a curve in a smooth projective variety is known to be at most 5, in any dimension greater than or equal to 4. We show…

math.AG2007★ 1 cited

A remark on Fano 4-folds having (3,1)-type extremal contractions

Toru Tsukioka

Let X be the blow-up of a smooth projective 4-fold Y along a smooth curve C and let E be the exceptional divisor. Assume that X is a Fano manifold and has an elementary extremal co…

math.AG2005

Classification of Fano manifolds containing a negative divisor isomorphic to projective space

Toru Tsukioka

We classify Fano manifolds X containing a divisor E isomorphic to projective space such that the normal bundle is strictly negative.