On elliptic surfaces, all but finitely many multiples of a non-torsion section meet the zero section transversely, yielding new transversality results and surfaces with fixed geometric genus and unbounded K^2.
the projective family of plane cubics defined by y2 +a3y =x3 +a2x2 +a4x
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Transversality of sections on elliptic surfaces with applications to elliptic divisibility sequences and geography of surfaces
On elliptic surfaces, all but finitely many multiples of a non-torsion section meet the zero section transversely, yielding new transversality results and surfaces with fixed geometric genus and unbounded K^2.