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#### Derived categories of irreducible projective curves of arithmetic genus one

(Cambridge Journals, 2006)

We investigate the bounded derived category of coherent
sheaves on irreducible singular projective curves of arithmetic
genus one. A description of the group of exact auto-equivalences
and the set of all t-structures ...

#### On a relative Fourier-Mukai transform on genus one fibrations

(Springer, 2006)

We study relative Fourier-Mukai transforms on genus
one fibrations with section, allowing explicitly the total space of
the fibration to be singular and non-projective. Grothendieck duality
is used to prove a ...

#### Existence of twistor spaces of algebraic dimension two over the connected sum of four complex projective planes

(American Mathematical Society, 1999)

We prove the existence of twistor spaces of algebraic dimension
two over the connected sum of four complex projective planes 4CP2. These are
the rst examples of twistor spaces of algebraic dimension two over a ...

#### Which graphs are rigid in lpd? (Pre-published)

(Springer, 2021-03-13)

We present three results which support the conjecture that a graph is minimally rigid in d-dimensional ℓp-space, where p∈(1,∞) and p≠2, if and only if it is (d, d)-tight. Firstly, we introduce a graph bracing operation ...