3 problems

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De Volder–Laface conjecture for linear systems on K3 surfaces
Let $X$ be a K3 surface with $H^2=n\in2{\mathbb{Z}}$ , and let ${\mathcal{L}}={\mathcal{L}}^n(d,m_1,\dots,m_h)$ be the system of curves in $|dH|$ through general points…
Conjectureopenk3-surfaces linear-systems special-divisorsarXiv posted 2 days ago
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Speciality conjecture for linear systems on the blow-up of $(\mathbb{P}^1)^3$
Speciality conjecture. Let $\mathcal{L}:=\mathcal{L}_{(d_1,d_2,d_3)}(m_1,\dots,m_r)$ be a linear system in standard form and let $D$ be a divisor in its strict transform. If…
Conjectureopenblow-ups linear-systems special-divisorsarXiv posted 2 days ago
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The arithmetic intersection conjecture for arbitrary fundamental matrices
The annihilation conjecture. The element $\pi^{r_1}$ annihilates the structure sheaf of
Conjectureopenarithmetic-geometry special-divisors unitary-rieszarXiv posted 2 days ago

De Volder–Laface conjecture for linear systems on K3 surfaces